Relevant bibliographies by topics / Sheaves, theory of

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Sheaves, theory of'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 July 2024

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Journal articles on the topic "Sheaves, theory of"

1

Resende, Pedro. "Groupoid sheaves as quantale sheaves." Journal of Pure and Applied Algebra 216, no. 1 (2012): 41–70. http://dx.doi.org/10.1016/j.jpaa.2011.05.002.

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Ben-Zvi, David, and David Nadler. "Elliptic Springer theory." Compositio Mathematica 151, no. 8 (2015): 1568–84. http://dx.doi.org/10.1112/s0010437x14008021.

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We introduce an elliptic version of the Grothendieck–Springer sheaf and establish elliptic analogues of the basic results of Springer theory. From a geometric perspective, our constructions specialize geometric Eisenstein series to the resolution of degree-zero, semistable $G$-bundles by degree-zero $B$-bundles over an elliptic curve $E$. From a representation theory perspective, they produce a full embedding of representations of the elliptic or double affine Weyl group into perverse sheaves with nilpotent characteristic variety on the moduli of $G$-bundles over $E$. The resulting objects are
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Leslie, Spencer, and Gus Lonergan. "Parity sheaves and Smith theory." Journal für die reine und angewandte Mathematik (Crelles Journal) 2021, no. 777 (2021): 49–87. http://dx.doi.org/10.1515/crelle-2021-0018.

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Abstract Let p be a prime number and let X be a complex algebraic variety with an action of ℤ / p ⁢ ℤ {\mathbb{Z}/p\mathbb{Z}} . We develop the theory of parity complexes in a certain 2-periodic localization of the equivariant constructible derived category D ℤ / p ⁢ ℤ b ⁢ ( X , ℤ p ) {D^{b}_{\mathbb{Z}/p\mathbb{Z}}(X,\mathbb{Z}_{p})} . Under certain assumptions, we use this to define a functor from the category of parity sheaves on X to the category of parity sheaves on the fixed-point locus X ℤ / p ⁢ ℤ {X^{\mathbb{Z}/p\mathbb{Z}}} . This may be thought of as a categorification of Smith theor
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Choudhury, Utsav, and Martin Gallauer Alves de Souza. "Homotopy theory of dg sheaves." Communications in Algebra 47, no. 8 (2019): 3202–28. http://dx.doi.org/10.1080/00927872.2018.1554744.

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Nadler, David. "Morse Theory and Tilting Sheaves." Pure and Applied Mathematics Quarterly 2, no. 3 (2006): 719–44. http://dx.doi.org/10.4310/pamq.2006.v2.n3.a6.

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Joyal, André, and Myles Tierney. "On the homotopy theory of sheaves of simplicial groupoids." Mathematical Proceedings of the Cambridge Philosophical Society 120, no. 2 (1996): 263–90. http://dx.doi.org/10.1017/s0305004100074855.

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The aim of this paper is to contribute to the foundations of homotopy theory for simplicial sheaves, as we believe this is the natural context for the development of non-abelian, as well as extraordinary, sheaf cohomology.In [11] we began constructing a theory of classifying spaces for sheaves of simplicial groupoids, and that study is continued here. Such a theory is essential for the development of basic tools such as Postnikov systems, Atiyah-Hirzebruch spectral sequences, characteristic classes, and cohomology operations in extraordinary cohomology of sheaves. Thus, in some sense, we are c
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Achar, Pramod N., and David Treumann. "Purity and decomposition theorems for staggered sheaves." Journal of the Institute of Mathematics of Jussieu 11, no. 4 (2012): 695–745. http://dx.doi.org/10.1017/s1474748011000211.

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AbstractTwo major results in the theory of ℓ-adic mixed constructible sheaves are the purity theorem (every simple perverse sheaf is pure) and the decomposition theorem (every pure object in the derived category is a direct sum of shifts of simple perverse sheaves). In this paper, we prove analogues of these results for coherent sheaves. Specifically, we work with staggered sheaves, which form the heart of a certain t-structure on the derived category of equivariant coherent sheaves. We prove, under some reasonable hypotheses, that every simple staggered sheaf is pure, and that every pure comp
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Awodey, S., N. Gambino, P. L. Lumsdaine, and M. A. Warren. "Lawvere–Tierney sheaves in Algebraic Set Theory." Journal of Symbolic Logic 74, no. 3 (2009): 861–90. http://dx.doi.org/10.2178/jsl/1245158088.

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AbstractWe present a solution to the problem of denning a counterpart in Algebraic Set Theory of the construction of internal sheaves in Topos Theory. Our approach is general in that we consider sheaves as determined by Lawvere-Tierney coverages, rather than by Grothendieck coverages, and assume only a weakening of the axioms for small maps originally introduced by Joyal and Moerdijk, thus subsuming the existing topos-theoretic results.
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Wendt, Michael A. "Measurable Hilbert sheaves." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 61, no. 2 (1996): 189–215. http://dx.doi.org/10.1017/s1446788700000197.

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AbstractWe describe measurable Hilbert sheaves as Hilbert space objects in a sheaf category constructed from a measure space. These are quite useful for the interpretation of the direct integral of Hilbert spaces as an indexed functor. We set up a framework to put this and similar constructions of operator theory on an indexed categorical footing.
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Barr, Michael. "Fuzzy Set Theory and Topos Theory." Canadian Mathematical Bulletin 29, no. 4 (1986): 501–8. http://dx.doi.org/10.4153/cmb-1986-079-9.

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AbstractThe relation between the categories of Fuzzy Sets and that of Sheaves is explored and the precise connection between them is explicated. In particular, it is shown that if the notion of fuzzy sets is further fuzzified by making equality (as well as membership) fuzzy, the resultant categories are indeed toposes.
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Dissertations / Theses on the topic "Sheaves, theory of"

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Berkouk, Nicolas. "Persistence and Sheaves : from Theory to Applications." Thesis, Institut polytechnique de Paris, 2020. http://www.theses.fr/2020IPPAX032.

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L’analyse de données topologique est un domaine de recherche récent qui vise à employer les techniques de la topologie algébrique pour concevoir des descripteurs de jeux de données. Pour être utiles en pratique, ces descripteurs doivent être calculables, et posséder une notion de métrique, afin de pouvoir exprimer leur stabilité vis à vis du bruit inhérent à toutes données réelles. La théorie de la persistance a été élaborée au début des années 2000 commeun premier cadre th éorique permettant de définir detels descripteurs - les désormais bien connus codebarres. Bien que très bien adaptée à un
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Shepherd, James A. "Coherent sheaves and deformation theory in abelian categories." Thesis, University of Bristol, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.412375.

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Schürmann, Jörg. "Topology of singular spaces and constructible sheaves /." Basel [u.a.] : Birkhäuser, 2003. http://www.loc.gov/catdir/toc/fy0803/2003062963.html.

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Posur, Sebastian [Verfasser]. "Constructive category theory and applications to equivariant sheaves / Sebastian Posur." Siegen : Universitätsbibliothek der Universität Siegen, 2017. http://d-nb.info/113738087X/34.

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Hoskins, Victoria Amy. "Moduli spaces of complexes of sheaves." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:aedd2719-2a38-41f9-9825-aa8f43fb872c.

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This thesis is on moduli spaces of complexes of sheaves and diagrams of such moduli spaces. The objects in these diagrams are constructed as geometric invariant theory quotients and the points in these quotients correspond to certain equivalence classes of complexes. The morphisms in these diagrams are constructed by taking direct sums with acyclic complexes. We then study the colimit of such a diagram and in particular are interested in studying the images of quasi-isomorphic complexes in the colimit. As part of this thesis we construct categorical quotients of a group action on unstable stra
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Nandakumar, Vinoth. "Coherent sheaves on varieties arising in Springer theory, and category 0." Thesis, Massachusetts Institute of Technology, 2015. http://hdl.handle.net/1721.1/99067.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, 2015.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (pages 93-96).<br>In this thesis, we will study three topics related to Springer theory (specifically, the geometry of the exotic nilpotent cone, and two-block Springer fibers), and stability conditions for category 0. In the first chapter, we will be studying the geometry of the exotic nilpotent cone (which is a variant of the nilpotent cone in type C introduced by Kato). Bezrukavnikov has established a bijection between A+, th
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Aratake, Hisashi. "Sheaves of Structures, Heyting-Valued Structures, and a Generalization of Łoś's Theorem." Doctoral thesis, Kyoto University, 2021. http://hdl.handle.net/2433/265174.

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Boavida, de Brito Pedro. "Homotopy sheaves on manifolds and applications to spaces of smooth embeddings." Thesis, University of Aberdeen, 2014. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=215123.

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This thesis explores connections between homotopy sheaves, manifold calculus of functors and operad theory. We argue that there is a deep overlap between these, and as evidence we give a new operadic description of the homotopy theoretical obstructions to deforming a smooth immersion into a smooth embedding. We then discuss an application which improves on some aspects of recent results of Arone-Turchin and Dwyer-Hess concerning spaces of long knots and high-dimensional variants. Along the way, we define fibrewise complete Segal spaces, a mild generalisation of Rezk's notion of complete Segal
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Schlüeter, Dirk Christopher. "Universal moduli of parabolic sheaves on stable marked curves." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:b0260f8e-6654-4bec-b670-5e925fd403dd.

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The topic of this thesis is the moduli theory of (parabolic) sheaves on stable curves. Using geometric invariant theory (GIT), universal moduli spaces of semistable parabolic sheaves on stable marked curves are constructed: `universal' indicates that these are moduli spaces of pairs where the underlying marked curve may vary as well as the parabolic sheaf (as in the Pandharipande moduli space for pairs of stable curves and torsion-free sheaves without augmentations). As an intermediate step in this construction, we construct moduli spaces of semistable parabolic sheaves on flat families of arb
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Thomas, Richard P. W. "Gauge theory on Calabi-Yau manifolds." Thesis, University of Oxford, 1997. http://ora.ox.ac.uk/objects/uuid:56a01377-4e70-486d-9dcb-29725f5280b5.

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We study complex analogues on Calabi-Yau manifolds of gauge theories on low dimensional real manifolds. In particular we define a holomorphic analogue of the Casson invariant, counting coherent sheaves on a Calabi-Yau 3-fold.
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Books on the topic "Sheaves, theory of"

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Alexandru, Dimca·. Sheaves in topology. Springer·, 2003.

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Bueso, J. L. Compatibility, stability, and sheaves. M. Dekker, 1995.

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1943-, Schapira Pierre, ed. Micrological study of sheaves. Société mathématique de France, 1985.

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Bernstein, Joseph. Equivariant sheaves and functors. Springer-Verlag, 1994.

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1943-, Schapira Pierre, and Société mathématique de France, eds. Microlocal study of sheaves. Société mathématique de France, 1985.

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Kashiwara, Masaki. Microlocal study of sheaves. Société mathématique de France, 1985.

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Kashiwara, Masaki. Microlocal study of sheaves. Société mathématique de France, 1985.

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Bredon, Glen E. Sheaf theory. 2nd ed. Springer, 1997.

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Bezrukavnikov, Roman. Factorizable sheaves and quantum groups. Springer, 1998.

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Huybrechts, Daniel. The geometry of moduli spaces of sheaves. 2nd ed. Cambridge University Press, 2010.

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Book chapters on the topic "Sheaves, theory of"

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Bredon, Glen E. "Sheaves and Presheaves." In Sheaf Theory. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_1.

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Mallios, Anastasios. "Classical Theory." In Geometry of Vector Sheaves. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5006-4_5.

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Douglas, Christopher L. "Sheaves in homotopy theory." In Topological Modular Forms. American Mathematical Society, 2014. http://dx.doi.org/10.1090/surv/201/05.

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Mallios, Anastasios. "A-connections. Local Theory." In Geometry of Vector Sheaves. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5006-4_2.

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Schürmann, Jörg. "Stratification theory and constructible sheaves." In Topology of Singular Spaces and Constructible Sheaves. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8061-9_5.

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Schürmann, Jörg. "Morse theory for constructible sheaves." In Topology of Singular Spaces and Constructible Sheaves. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-8061-9_6.

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Goresky, Mark. "Morse Theory, Stratifications and Sheaves." In Handbook of Geometry and Topology of Singularities I. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-53061-7_5.

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Golovin, V. D. "Homology Theory." In Homology of Analytic Sheaves and Duality Theorems. Springer US, 1989. http://dx.doi.org/10.1007/978-1-4684-1677-0_2.

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Beilinson, A. A. "How to glue perverse sheaves." In K-Theory, Arithmetic and Geometry. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078366.

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Manin, Yuri I. "Sheaves, Schemes, and Projective Spaces." In Introduction to the Theory of Schemes. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-74316-5_2.

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Conference papers on the topic "Sheaves, theory of"

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Hylton, Alan, Robert Short, Robert Green, and Metin Toksoz-Exley. "A Mathematical Analysis of an Example Delay Tolerant Network using the Theory of Sheaves." In 2020 IEEE Aerospace Conference. IEEE, 2020. http://dx.doi.org/10.1109/aero47225.2020.9172366.

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First, Uriya A., and Tali Kaufman. "Cosystolic Expansion of Sheaves on Posets with Applications to Good 2-Query Locally Testable Codes and Lifted Codes." In STOC '24: 56th Annual ACM Symposium on Theory of Computing. ACM, 2024. http://dx.doi.org/10.1145/3618260.3649625.

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Srivastava, Nilabh, Yi Miao, and Imtiaz U. Haque. "Influence of Clearance on the Dynamics of Chain CVT Drives." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-14059.

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A continuously variable transmission (CVT) is an emerging automotive transmission technology that offers a continuum of gear ratios between desired limits. The present research focuses on developing models to understand the influence of clearance on the dynamic performance of a chain CVT drive. Clearances may arise in such a CVT during the assembly process or during extensive continual operation of the system, which further leads to wear and failure of the system. A detailed planar multibody model of a chain CVT is developed in order to accurately capture the dynamics characterized by the disc
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Alleman, Neil. "Increasing the Safety and Efficiency of Completions with the Utilization of Remote Manipulation Systems and Elimination of Hanging Sheaves." In Offshore Technology Conference Asia. OTC, 2022. http://dx.doi.org/10.4043/31464-ms.

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Abstract The process of running completions typically involves an increased complexity of systems and setups. The running of control lines and umbilicals have historically used hanging sheaves to route the lines from the spoolers to well center and require increased number of personnel in the red zone during operations. These complexities introduce many risks and potential incidents that operators aim to eliminate. Typical procedures for running completions require man-riding operations to hang sheaves in the derrick. Once the control lines or umbilicals are routed through these sheaves, they
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Scheiner, Brett, Scott D. Baalrud, Benjamin T. Yee, Matthew M. Hopkins, and Edward V. Barnat. "Theory of sheaths near positively biased electrodes." In 2016 IEEE International Conference on Plasma Science (ICOPS). IEEE, 2016. http://dx.doi.org/10.1109/plasma.2016.7534341.

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Suzuki, Koshiro, and Hisao Hayakawa. "Mode-coupling theory for sheared granular liquids." In POWDERS AND GRAINS 2013: Proceedings of the 7th International Conference on Micromechanics of Granular Media. AIP, 2013. http://dx.doi.org/10.1063/1.4812020.

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Hayakawa, Hisao, Song-Ho Chong, Michio Otsuki, Joe Goddard, Pasquale Giovine, and James T. Jenkins. "Nonequilibrium liquid theory for sheared granular liquids." In IUTAM-ISIMM SYMPOSIUM ON MATHEMATICAL MODELING AND PHYSICAL INSTANCES OF GRANULAR FLOWS. AIP, 2010. http://dx.doi.org/10.1063/1.3435390.

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Lebrecht, Wolfram, Heinz Ulbrich, and Friedrich Pfeiffer. "Modelling Sheave Elasticity in CVT Drives." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84528.

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This contribution presents the modelling of chain and belt CVT drives used in numerical simulations, under special consideration of the elasticity of the pulley sheaves. The system is subdivided into the pulleys, the power transmitting chain or belt and different types of contacts. Since the deformation of the CVT is of major importance for the mechanical behaviour, the elasticity of the colliding bodies has to be taken into account. Due to elasticity and clearance of the shaft-to-collar connection the pulley sheaves tilt. This effect is modelled by a force element. Furthermore as a consequenc
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Parks, Steven M., and Charles A. Petty. "ANISOTROPIC PRESTRESS THEORY FOR HOMOGENEOUSLY SHEARED TURBULENT FLOWS." In First Symposium on Turbulence and Shear Flow Phenomena. Begellhouse, 1999. http://dx.doi.org/10.1615/tsfp1.380.

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Suzuki, Koshiro, and Hisao Hayakawa. "Nonequilibrium mode-coupling theory for uniformly sheared underdamped systems." In 4TH INTERNATIONAL SYMPOSIUM ON SLOW DYNAMICS IN COMPLEX SYSTEMS: Keep Going Tohoku. American Institute of Physics, 2013. http://dx.doi.org/10.1063/1.4794674.

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Reports on the topic "Sheaves, theory of"

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Hahm, T. S., and L. Chen. Theory of semicollisional kinetic Alfven modes in sheared magnetic fields. Office of Scientific and Technical Information (OSTI), 1985. http://dx.doi.org/10.2172/5908866.

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Birdsall, Charles K., and Keith Cartwright. Waves in Plasma Sheaths and at Boundaries: Theory and Computer Experiments. Defense Technical Information Center, 1997. http://dx.doi.org/10.21236/ada329904.

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Birdsall, Charles K. Waves in Plasma Sheaths and at Boundaries: Theory and Computer Experiments. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada298447.

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Gang, F. Y., P. H. Diamond, and M. N. Rosenbluth. A kinetic theory of trapped electron driven drift wave turbulence in a sheared magnetic field. Office of Scientific and Technical Information (OSTI), 1990. http://dx.doi.org/10.2172/6227661.

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Harris, L. B., P. Adiban, and E. Gloaguen. The role of enigmatic deep crustal and upper mantle structures on Au and magmatic Ni-Cu-PGE-Cr mineralization in the Superior Province. Natural Resources Canada/CMSS/Information Management, 2021. http://dx.doi.org/10.4095/328984.

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Aeromagnetic and ground gravity data for the Canadian Superior Province, filtered to extract long wavelength components and converted to pseudo-gravity, highlight deep, N-S trending regional-scale, rectilinear faults and margins to discrete, competent mafic or felsic granulite blocks (i.e. at high angles to most regional mapped structures and sub-province boundaries) with little to no surface expression that are spatially associated with lode ('orogenic') Au and Ni-Cu-PGE-Cr occurrences. Statistical and machine learning analysis of the Red Lake-Stormy Lake region in the W Superior Province con
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