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Relevant bibliographies by topics / T cohomology

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Academic literature on the topic 'T cohomology'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "T cohomology"

1

Cobb, Sarah. "Infinite-dimensional cohomology of SL2(Z[t,t−1])." Journal of Algebra 462 (September 2016): 181–96. http://dx.doi.org/10.1016/j.jalgebra.2016.05.017.

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BUNKE, ULRICH, and THOMAS SCHICK. "ON THE TOPOLOGY OF T-DUALITY." Reviews in Mathematical Physics 17, no. 01 (2005): 77–112. http://dx.doi.org/10.1142/s0129055x05002315.

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We study a topological version of the T-duality relation between pairs consisting of a principal U(1)-bundle equipped with a degree-three integral cohomology class. We describe the homotopy type of a classifying space for such pairs and show that it admits a selfmap which implements a T-duality transformation. We give a simple derivation of a T-duality isomorphism for certain twisted cohomology theories. We conclude with some explicit computations of twisted K-theory groups and discuss an example of iterated T-duality for higher-dimensional torus bundles.

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Lorestani, Keivan Borna, Parviz Sahandi, and Siamak Yassemi. "Artinian Local Cohomology Modules." Canadian Mathematical Bulletin 50, no. 4 (2007): 598–602. http://dx.doi.org/10.4153/cmb-2007-058-8.

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AbstractLet R be a commutative Noetherian ring, α an ideal of R and M a finitely generated R-module. Let t be a non-negative integer. It is known that if the local cohomology module is finitely generated for all i < t, then is finitely generated. In this paper it is shown that if is Artinian for all i < t, then need not be Artinian, but it has a finitely generated submodule N such that /N is Artinian.

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Mafi, Amir. "On the Finiteness Results of the Generalized Local Cohomology Modules." Algebra Colloquium 16, no. 02 (2009): 325–32. http://dx.doi.org/10.1142/s1005386709000315.

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Let 𝔞 be an ideal of a commutative Noetherian local ring R, and let M and N be two finitely generated R-modules. Let t be a positive integer. It is shown that if the support of the generalized local cohomology module [Formula: see text] is finite for all i < t, then the set of associated prime ideals of the generalized local cohomology module [Formula: see text] is finite. Also, if the support of the local cohomology module [Formula: see text] is finite for all i < t, then the set [Formula: see text] is finite. Moreover, we prove that gdepth (𝔞+ Ann (M),N) is the least integer t such tha

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Sato, Takashi. "The $T$ -equivariant integral cohomology ring of $F_{4}/T$." Kyoto Journal of Mathematics 54, no. 4 (2014): 703–26. http://dx.doi.org/10.1215/21562261-2801786.

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ANANTHARAMAN-DELAROCHE, CLAIRE. "Cohomology of property T groupoids and applications." Ergodic Theory and Dynamical Systems 25, no. 4 (2005): 977–1013. http://dx.doi.org/10.1017/s0143385704000884.

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Nakagawa, Masaki. "The integral cohomology ring of $E_7/T$." Journal of Mathematics of Kyoto University 41, no. 2 (2001): 303–21. http://dx.doi.org/10.1215/kjm/1250517635.

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Fernós, Talia, Alain Valette, and Florian Martin. "Reduced 1-cohomology and relative property (T)." Mathematische Zeitschrift 270, no. 3-4 (2010): 613–26. http://dx.doi.org/10.1007/s00209-010-0815-1.

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Baues, H. J., and F. Muro. "Cohomologically triangulated categories I." Journal of K-Theory 1, no. 1 (2008): 3–48. http://dx.doi.org/10.1017/is007011018jkt019.

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AbstractWe introduce cohomologically triangulated categories as triples (A,t,▽) given by an additive category A, an additive equivalence t:AA and a cohomology class ▽ in the translation cohomology H3(A,t). A stable homotopy theory C with A = HoC yields such a triple and the class of distinguished triangles in A is deduced from ▽.

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Crooks, Peter, and Tyler Holden. "Generalized Equivariant Cohomology and Stratifications." Canadian Mathematical Bulletin 59, no. 3 (2016): 483–96. http://dx.doi.org/10.4153/cmb-2016-032-5.

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AbstractFor T a compact torus and a generalized T-equivariant cohomology theory, we provide a systematic framework for computing in the context of equivariantly stratified smooth complex projective varieties. This allows us to explicitly compute as an (pt)-module when X is a direct limit of smooth complex projective Tℂ-varieties. We perform this computation on the affine Grassmannian of a complex semisimple group.

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Dissertations / Theses on the topic "T cohomology"

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Sato, Takashi. "The T-equivariant Integral Cohomology Ring of F4/T." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/199076.

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Al-Zamil, Qusay Soad. "Algebraic topology of PDES." Thesis, University of Manchester, 2012. https://www.research.manchester.ac.uk/portal/en/theses/algebraic-topology-of-pdes(6e25e379-5e32-4db8-abd1-e0a892cecea6).html.

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We consider a compact, oriented,smooth Riemannian manifold $M$ (with or without boundary) and wesuppose $G$ is a torus acting by isometries on $M$. Given $X$ in theLie algebra of $G$ and corresponding vector field $X_M$ on $M$, onedefines Witten's inhomogeneous coboundary operator $\d_{X_M} =\d+\iota_{X_M}: \Omega_G^\pm \to\Omega_G^\mp$ (even/odd invariantforms on $M$) and its adjoint $\delta_{X_M}$. First, Witten [35] showed that the resulting cohomology classeshave $X_M$-harmonic representatives (forms in the null space of$\Delta_{X_M} = (\d_{X_M}+\delta_{X_M})^2$), and the cohomologygroups

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Byande, Paul Mirabeau. "Des structures affines à la géométrie de l'information." Thesis, Montpellier 2, 2010. http://www.theses.fr/2010MON20132.

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Ce mémoire traite des structures affines et de leur rapport à la géométrie de l'information. Nous y introduisons la notion de T-plongement. Il permet de montrer que l'ensemble des structures affines complètes du tore T^2 est une courbe projective de RP^2. En substituant à la contrainte topologique (compacité) une contrainte dynamique (action canonique de Aff_0(1) dans le démi-plan de Poincaré H^2)on démontre que l'ensemble S des structures Aff_0(1)-invariantes dans H^2 est une surface projective connexe dans RP^5 ne contenant aucun point complet. Un de mes résultats remarquables concerne la cl

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Alter, Mio Ilan. "Differential T-equivariant K-theory." 2013. http://hdl.handle.net/2152/21680.

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For T the circle group, we construct a differential refinement of T-equivariant K-theory. We first construct a de Rham model for delocalized equivariant cohomology and a delocalized equivariant Chern character based on [19] and [14]. We show that the delocalized equivariant Chern character induces a complex isomorphism. We then construct a geometric model for differential T-equivariant K-theory analogous to the model of differential K-theory in [27] and deduce its basic properties.<br>text

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Books on the topic "T cohomology"

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

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Book chapters on the topic "T cohomology"

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Chen, Kuo-Tsai. "Iterated Integration and Loopspace Cohomology." In Collected Papers of K.-T. Chen. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-2096-1_35.

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Chen, Kuo-Tsai. "Pullback De Rham Cohomology of the Free Path Fibration." In Collected Papers of K.-T. Chen. Birkhäuser Boston, 2001. http://dx.doi.org/10.1007/978-1-4612-2096-1_46.

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Bouwknegt, P. "Lectures on Cohomology, T-Duality, and Generalized Geometry." In New Paths Towards Quantum Gravity. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11897-5_5.

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Aguadé, Jaume, Carles Broto, and Laia Saumell. "The Functor T and the Cohomology of Mapping Spaces." In Categorical Decomposition Techniques in Algebraic Topology. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7863-0_1.

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Tu, Loring W. "Vector-Valued Forms." In Introductory Lectures on Equivariant Cohomology. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691191751.003.0014.

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This chapter studies vector-valued forms. Ordinary differential forms have values in the field of real numbers. This chapter allows differential forms to take values in a vector space. When the vector space has a multiplication, for example, if it is a Lie algebra or a matrix group, the vector-valued forms will have a corresponding product. Vector-valued forms have become indispensable in differential geometry, since connections and curvature on a principal bundle are vector-valued forms. All the vector spaces will be real vector spaces. A k-covector on a vector space T is an alternating k-linear function. If V is another vector space, a V-valued k-covector on T is an alternating k-linear function.

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de la Ossa, Xenia, Magdalena Larfors, and Eirik E. Svanes. "Restrictions of Heterotic G2 Structures and Instanton Connections." In Geometry and Physics: Volume II. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198802020.003.0020.

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This chapter revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G <sub>2</sub> structure. In particular, such heterotic G <sub>2</sub> systems can be rephrased in terms of a differential Ď acting on a complex Ωˇ∗(Y,Q), where Ωˇ=T∗Y⊕End(TY)⊕End(V), and Ď is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology HDˇ1(Y,Q). The chapter proceeds to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, the chapter derives a new result: the Strominger–Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).

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Harder, Günter. "Harish-Chandra Modules over ℤ." In Eisenstein Cohomology for GL and the Special Values of Rankin-Selberg L-Functions. Princeton University Press, 2019. http://dx.doi.org/10.23943/princeton/9780691197890.003.0008.

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This chapter shows that certain classes of Harish-Chandra modules have in a natural way a structure over ℤ. The Lie group is replaced by a split reductive group scheme G/ℤ, its Lie algebra is denoted by 𝖌<sub>ℤ</sub>. On the group scheme G/ℤ there is a Cartan involution 𝚯 that acts by t ↦ t <sup>−1</sup> on the split maximal torus. The fixed points of G/ℤ under 𝚯 is a flat group scheme 𝒦/ℤ. A Harish-Chandra module over ℤ is a ℤ-module 𝒱 that comes with an action of the Lie algebra 𝖌<sub>ℤ</sub>, an action of the group scheme 𝒦, and some compatibility conditions is required between these two actions. Finally, 𝒦-finiteness is also required, which is that 𝒱 is a union of finitely generated ℤ modules 𝒱<sub>I</sub> that are 𝒦-invariant. The definitions imitate the definition of a Harish-Chandra modules over ℝ or over ℂ.

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