Results 61 to 70 of about 138,760 (231)
On the Cohomology of Contextuality [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 Recent work by Abramsky and Brandenburger used sheaf theory to give a mathematical formulation of non-locality and contextuality. By adopting this viewpoint, it has been possible to define cohomological obstructions to the existence of global sections. In the present work, we illustrate new insights into different aspects of this theory.
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Cohomology of bifunctors [PDF]
Proceedings of the London Mathematical Society, 2008 We initiate the study of the cohomology of (strict polynomial) bifunctors by introducing the foundational formalism, establishing numerous properties in analogy with the cohomology of functors, and providing computational techniques. Since one of the initial motivations for the study of functor cohomology was the determination of the cohomology of GL(k)
Vincent Franjou, Eric M. Friedlander
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Étale motives of geometric origin
Bulletin of the London Mathematical Society, EarlyView.Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
wiley +1 more source
Computations of Nambu-Poisson cohomologies
International Journal of Mathematics and Mathematical Sciences, 2001 We want to associate to an n-vector on a manifold of dimension n a cohomology which generalizes the Poisson cohomology of a 2-dimensional Poisson manifold. Two possibilities are given here.
Philippe Monnier
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Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries
Journal of High Energy Physics, 2017 We provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based
Volker Braun +3 more
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Syntomic cohomology and $p$-adic motivic cohomology
Algebraic Geometry, 2019 We prove a mixed characteristic analog of the Beilinson-Lichtenbaum Conjecture for p-adic motivic cohomology. It gives a description, in the stable range, of p-adic motivic cohomology (defined using algebraic cycles) in terms of differential forms. This generalizes a result of Geisser from small Tate twists to all twists and uses as a critical new ...
Ertl, Veronika, Niziol, Wieslawa
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Rational cohomology tori [PDF]
Geometry & Topology, 2017 Appendix by William F ...
Debarre, Olivier +3 more
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Hilbert–Kunz multiplicity of powers of ideals in dimension two
Bulletin of the London Mathematical Society, EarlyView.Abstract We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in terms of a “Ratliff–Rush version” of the Hilbert–Kunz multiplicity.
Alessandro De Stefani +3 more
wiley +1 more source
1-parameter formal deformations and abelian extensions of Lie color triple systems
Electronic Research Archive, 2022 The purpose of this paper is to discuss Lie color triple systems. The cohomology theory of Lie color triple systems is established, then 1-parameter formal deformations and abelian extensions of Lie color triple systems are studied using cohomology.
Qiang Li, Lili Ma
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Simplicial cohomology of orbifolds [PDF]
Indagationes Mathematicae, 1999 For any orbifold M, we explicitly construct a simplicial complex S(M) from a given triangulation of the `coarse' underlying space together with the local isotropy groups of M. We prove that, for any local system on M, this complex S(M) has the same cohomology as M. The use of S(M) in explicit calculations is illustrated in the example of the `teardrop'
Moerdijk, I., Pronk, D.A.
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