Relevant bibliographies by topics / Twistor theory : Sheaf theory

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Academic literature on the topic 'Twistor theory : Sheaf theory'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Twistor theory : Sheaf theory"

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Bunke, Ulrich, Thomas Schick, and Markus Spitzweck. "Sheaf theory for stacks in manifolds and twisted cohomology forS1–gerbes." Algebraic & Geometric Topology 7, no. 2 (June 20, 2007): 1007–62. http://dx.doi.org/10.2140/agt.2007.7.1007.

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BOOHER, JEREMY, ANASTASSIA ETROPOLSKI, and AMANDA HITTSON. "EVALUATIONS OF CUBIC TWISTED KLOOSTERMAN SHEAF SUMS." International Journal of Number Theory 06, no. 06 (September 2010): 1349–65. http://dx.doi.org/10.1142/s1793042110003538.

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We prove some conjectures of Evans and Katz presented in a paper by Evans regarding twisted Kloosterman sheaf sums Tn. These conjectures give explicit evaluations of the sums Tn where the character is cubic and n = 4. There are also conjectured relationships between evaluations of Tn and the coefficients of certain modular forms. For three of these modular forms, each of weight 3, it is conjectured that the coefficients are related to the squares of the coefficients of weight 2 modular forms. We prove these relationships using the theory of complex multiplication.
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PARK, Q.-HAN. "2D SIGMA MODEL APPROACH TO 4D INSTANTONS." International Journal of Modern Physics A 07, no. 07 (March 20, 1992): 1415–47. http://dx.doi.org/10.1142/s0217751x92000624.

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4D self-dual theories are proposed to generalize 2D conformal field theory. We identify 4D self-dual gravity as well as self-dual Yang-Mills theory with 2D sigma models valued in infinite-dimensional gauge groups. It is shown that these models possess infinite-dimensional symmetries with associated algebras—“CP1 extensions” of respective gauge algebras of 2D sigma models—which generalize the Kac-Moody algebra as well as W∞. We address various issues concerning 2D sigma models, twistors and sheaf cohomology. An attempt to connect 4D self-dual theories with 2D conformal field theory is made through sl (∞) Toda field theory.
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Gibbons, G. W. "Twistor theory." Contemporary Physics 33, no. 3 (May 1992): 187–88. http://dx.doi.org/10.1080/00107519208211058.

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Putinar, Mihai. "Spectral theory and sheaf theory. II." Mathematische Zeitschrift 192, no. 3 (September 1986): 473–90. http://dx.doi.org/10.1007/bf01164022.

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Choukri, R., A. el Kinani, and A. Oukhouya. "On the sheaf theory." Rendiconti del Circolo Matematico di Palermo 55, no. 2 (June 2006): 185–91. http://dx.doi.org/10.1007/bf02874701.

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Hodges, Andrew. "Theory with a twistor." Nature Physics 9, no. 4 (April 2013): 205–6. http://dx.doi.org/10.1038/nphys2597.

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Mason, Lionel, and David Skinner. "Heterotic twistor–string theory." Nuclear Physics B 795, no. 1-2 (May 2008): 105–37. http://dx.doi.org/10.1016/j.nuclphysb.2007.11.010.

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Penrose, Roger. "Palatial twistor theory and the twistor googly problem." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 373, no. 2047 (August 6, 2015): 20140237. http://dx.doi.org/10.1098/rsta.2014.0237.

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A key obstruction to the twistor programme has been its so-called ‘googly problem’, unresolved for nearly 40 years, which asks for a twistor description of right -handed interacting massless fields (positive helicity), using the same twistor conventions that give rise to left -handed fields (negative helicity) in the standard ‘nonlinear graviton’ and Ward constructions. An explicit proposal for resolving this obstruction— palatial twistor theory —is put forward (illustrated in the case of gravitation). This incorporates the concept of a non-commutative holomorphic quantized twistor ‘Heisenberg algebra’, extending the sheaves of holomorphic functions of conventional twistor theory to include the operators of twistor differentiation.
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Roe, John, and Paul Siegel. "Sheaf theory and Paschke duality." Journal of K-Theory 12, no. 2 (August 28, 2013): 213–34. http://dx.doi.org/10.1017/is013006016jkt233.

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AbstractLet X be a locally compact metrizable space. We show that the Paschke dual construction, which associates to a representation of C0(X) its commutant modulo locally compact operators, can be sheafified. We use this observation to simplify several constructions in analytic K-homology.
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Dissertations / Theses on the topic "Twistor theory : Sheaf theory"

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Gundry, James Michael. "Newtonian twistor theory." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/267894.

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In twistor theory the nonlinear graviton construction realises four-dimensional antiself- dual Einstein manifolds as Kodaira moduli spaces of rational curves in threedimensional complex manifolds. We establish a Newtonian analogue of this procedure, in which four-dimensional Newton-Cartan manifolds arise as Kodaira moduli spaces of rational curves with normal bundle O + O(2) in three-dimensional complex manifolds. The isomorphism class of the normal bundle is unstable with respect to general deformations of the complex structure, exhibiting a jump to the Gibbons- Hawking class of twistor spaces. We show how Newton-Cartan connections can be constructed on the moduli space by means of a splitting procedure augmented by an additional vector bundle on the twistor space which emerges when considering the Newtonian limit of Gibbons-Hawking manifolds. The Newtonian limit is thus established as a jumping phenomenon. Newtonian twistor theory is extended to dimensions three and five, where novel features emerge. In both cases we are able to construct Kodaira deformations of the flat models whose moduli spaces possess Galilean structures with torsion. In five dimensions we find that the canonical affine connection induced on the moduli space can possess anti-self-dual generalised Coriolis forces. We give examples of anti-self-dual Ricci-flat manifolds whose twistor spaces contain rational curves whose normal bundles suffer jumps to O(2 - k) + O(k) for arbitrarily large integers k, and we construct maps which portray these big-jumping twistor spaces as the resolutions of singular twistor spaces in canonical Gibbons-Hawking form. For k > 3 the moduli space itself is singular, arising as a variety in an ambient complex space. We explicitly construct Newtonian twistor spaces suffering similar jumps. Finally we prove several theorems relating the first-order and higher-order symmetry operators of the Schrödinger equation to tensors on Newton-Cartan backgrounds, defining a Schrödinger-Killing tensor for this purpose. We also explore the role of conformal symmetries in Newtonian twistor theory in three, four, and five dimensions.
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Bedford, James Andrew Peter. "On perturbative field theory and twistor string theory." Thesis, Queen Mary, University of London, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.479158.

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Shah, Mitul Rasiklal. "Twistor theory and meromorphic geometry." Thesis, University of Oxford, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531998.

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Johnson, Mark William. "Enriched sheaf theory as a framework for stable homotopy theory /." Thesis, Connect to this title online; UW restricted, 1999. http://hdl.handle.net/1773/5775.

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O'Donald, Lewis John. "Twistor diagrams and quantum field theory." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.306032.

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Pilato, Alejandro Miguel. "Elementary states, supergeometry and twistor theory." Thesis, University of Oxford, 1986. http://ora.ox.ac.uk/objects/uuid:d86c78d7-2e6e-4a5c-a37a-81d8dbf3ccd8.

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It is shown that Hp-1 (P+, 0 (-m-p)) is a Fréchet space, and its dual is Hq-1(P-, 0 (m-q)), where P+ and P- are the projectivizations of subsets of generalized twistor space (≌ ℂp-q) on which the hermitian form (of signature (p,q)) is positive and negative definite respectively, and 0(-m-p) denotes the sheaf of germs of holomorphic functions homogeneous of degree -m-p. It is then proven, for p = 2 and q = 2, that the subspace consisting of all twistor elementary states is dense in Hp-1(P+, 0(-m-p)). A supermanifold is a ringed space consisting of an underlying classical manifold and an augmented sheaf of Z2-graded algebras locally isomorphic to an exterior algebra. The subcategory of the category of ringed spaces generated by such supermanifolds is referred to as the super category. A mathematical framework suitable for describing the generalization of Yang-Mills theory to the super category is given. This includes explicit examples of supercoordinate changes, superline bundles, and superconnections. Within this framework, a definition of the full super Yang-Mills equations is given and the simplest case is studied in detail. A comprehensive account of the generalization of twistor theory to the super category is presented, and it is used in an attempt to formulate a complete description of the super Yang-Mills equations. New concepts are introduced, and several ideas which have previously appeared in the literature at the level of formal calculations are expanded and explained within a consistent framework.
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Barge, S. "Twistor theory and the K.P. equations." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.301766.

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In this thesis, we discuss a geometric construction analogous to the Ward correspondence for the KP equations. We propose a Dirac operator based on the inverse scattering transform for the KP-II equation and discuss the similarities and differences to the Ward correspondence. We also consider the KP-I equation, describing a geometric construction for a certain class of solutions. We also discuss the general inverse scattering of the equation, how this is related to the KP-II equation and the problems with describing a single geometric construction that incorporates both equations. We also consider the Davey-Stewartson equations, which have a similar behaviour. We demonstrate explicitly the problems of localising the theory with generic boundary conditions. We also present a reformulation of the Dirac operator and demonstrate a duality between the Dirac operator and the first Lax operator for the DS-II equations. We then proceed to generalise the Dirac operator construction to generate other integrable systems. These include the mKP and Ishimori equations, and an extension to the KP and mKP hierarchies.
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Calvert, Guy. "Twistor theory, isomonodromy and the Painlevé equations." Thesis, University of Oxford, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427893.

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Singer, Michael Anthony. "A general theory of global twistor descriptions." Thesis, University of Oxford, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.359974.

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Wong, Woon Kwong. "The twistor theory of the AKS systems." Thesis, University of Oxford, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.294333.

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Books on the topic "Twistor theory : Sheaf theory"

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1969-, Schick Thomas, and Spitzweck Markus, eds. Periodic twisted cohomology and T-duality. Paris: Société mathematique de France, 2011.

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

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Bredon, Glen E. Sheaf Theory. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7.

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Huggett, S. A. An introduction to twistor theory. 2nd ed. Cambridge [England]: Cambridge University Press, 1994.

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P, Tod K., ed. An introduction to twistor theory. Cambridge [Cambridgeshire]: Cambridge University Press, 1985.

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1940-, Wells R. O., ed. Twistor geometry and field theory. Cambridge [England]: Cambridge University Press, 1990.

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Burstall, Francis E., and John H. Rawnsley. Twistor Theory for Riemannian Symmetric Spaces. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/bfb0095561.

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France, Société mathématique de, ed. Polarizable twistor D-modules. Paris: Société mathématique de France, 2005.

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

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Cohomology of sheaves. Berlin: Springer-Verlag, 1986.

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Book chapters on the topic "Twistor theory : Sheaf theory"

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Grauert, Hans, and Reinhold Remmert. "Sheaf Theory." In Theory of Stein Spaces, 1–27. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-642-18921-0_1.

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Iversen, Birger. "Sheaf Theory." In Universitext, 74–145. Berlin, Heidelberg: Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82783-9_2.

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Wells, Raymond O. "Sheaf Theory." In Graduate Texts in Mathematics, 36–64. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-73892-5_2.

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Bredon, Glen E. "Sheaf Cohomology." In Sheaf Theory, 33–178. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_2.

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Bredon, Glen E. "Applications of Spectral Sequences." In Sheaf Theory, 197–278. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_4.

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Bredon, Glen E. "Borel-Moore Homology." In Sheaf Theory, 279–416. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_5.

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Bredon, Glen E. "Cosheaves and Čech Homology." In Sheaf Theory, 417–48. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_6.

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Bredon, Glen E. "Sheaves and Presheaves." In Sheaf Theory, 1–32. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_1.

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Bredon, Glen E. "Comparison with Other Cohomology Theories." In Sheaf Theory, 179–96. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4612-0647-7_3.

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Arapura, Donu. "More Sheaf Theory." In Universitext, 49–78. Boston, MA: Springer US, 2012. http://dx.doi.org/10.1007/978-1-4614-1809-2_3.

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Conference papers on the topic "Twistor theory : Sheaf theory"

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Adamo, Timothy. "Lectures on twistor theory." In XIII Modave Summer School in Mathematical Physics. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.323.0003.

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Dixon, Lance. "Twistor String Theory and QCD." In International Europhysics Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.021.0405.

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Adamo, Tim. "Gravitational Scattering via Twistor Theory." In Frontiers of Fundamental Physics 14. Trieste, Italy: Sissa Medialab, 2016. http://dx.doi.org/10.22323/1.224.0152.

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AGNEW, ALFONSO F. "SPACETIME ALGEBRAS AND TWISTOR THEORY." In Proceedings of the 3rd ISAAC Congress. World Scientific Publishing Company, 2003. http://dx.doi.org/10.1142/9789812794253_0046.

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Dunajski, Maciej. "Integrable hierarchies in twistor theory." In Particles, fields and gravitation. AIP, 1998. http://dx.doi.org/10.1063/1.57141.

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Abou-Zeid, Mohab, John Ellis, Salah Nasri, and Ehab Malkawi. "Twistor Strings, Gauge Theory and Gravity." In HIGH ENERGY PHYSICS AND APPLICATIONS: Proceedings of the UAE-CERN Workshop. AIP, 2008. http://dx.doi.org/10.1063/1.2927601.

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Svrcek, Peter, and Freddy Cachazo. "Lectures on Twistor String Theory and Perturbative Yang-Mills Theory." In RTN Winter School on Strings, Supergravity and Gauge Theories. Trieste, Italy: Sissa Medialab, 2005. http://dx.doi.org/10.22323/1.019.0004.

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Robinson, Michael. "Understanding networks and their behaviors using sheaf theory." In 2013 IEEE Global Conference on Signal and Information Processing (GlobalSIP). IEEE, 2013. http://dx.doi.org/10.1109/globalsip.2013.6737040.

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POLYAKOV, Dimitri. "GL(1) charged states in twistor string theory." In International Europhysics Conference on High Energy Physics. Trieste, Italy: Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.021.0146.

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KHOZE, VALENTIN V. "GAUGE THEORY AMPLITUDES, SCALAR GRAPHS AND TWISTOR SPACE." In Proceedings of the Conference. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702326_0042.

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Reports on the topic "Twistor theory : Sheaf theory"

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Srinivas, Yellamraju V. Applications of Sheaf Theory in Algorithm Design. Fort Belvoir, VA: Defense Technical Information Center, September 1993. http://dx.doi.org/10.21236/ada272724.

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