Results 1 to 10 of about 138,760 (231)
Cellular Cohomology in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2020 We present a development of cellular cohomology in homotopy type theory. Cohomology associates to each space a sequence of abelian groups capturing part of its structure, and has the advantage over homotopy groups in that these abelian groups of many ...
Ulrik Buchholtz, Kuen-Bang Hou
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Mathematics, 2023 A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produce interesting cohomology groups. In degree 0, they see the number of ends
Elisa Hartmann
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Cohomology of simple modules for sl3(k) in characteristic 3 [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper we calculate cohomology of a classical Lie algebra of type A 2 over an algebraically field k of characteristic p = 3 with coefficients in simple modules.
A.A. Ibrayeva +2 more
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Quantum cohomology as a deformation of symplectic cohomology
Journal of Fixed Point Theory and Applications, 2022 AbstractWe prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the symplectic cohomology of the complement of a simple crossings symplectic divisor. We also prove rigidity results for the skeleton of the divisor complement.
Borman, Matthew Strom +2 more
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BRST cohomology is Lie algebroid cohomology
Nuclear Physics B, 2023 27 pages, 1 figure; v3: minor typos fixed; published ...
Weizhen Jia +2 more
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From β to η: a new cohomology for deformed Sasaki-Einstein manifolds
Journal of High Energy Physics, 2022 We discuss in detail the different analogues of Dolbeault cohomology groups on Sasaki-Einstein manifolds and prove a new vanishing result for the transverse Dolbeault cohomology groups H ∂ ¯ p 0 k $$ {H}_{\overline{\partial}}^{\left(p,0\right)}(k ...
Edward Lødøen Tasker
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Satellites of Functors for Nonassociative Algebras with Metagroup Relations
Mathematics, 2022 The article is devoted to non-associative algebras with metagroup relations and modules over them. Their functors are studied. Satellites of functors are scrutinized. An exactness of satellite sequences and diagrams is investigated.
Sergey Victor Ludkowski
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Motives with modulus, II: Modulus sheaves with transfers for proper modulus pairs [PDF]
Épijournal de Géométrie Algébrique, 2021 We develop a theory of sheaves and cohomology on the category of proper modulus pairs. This complements [KMSY21], where a theory of sheaves and cohomology on the category of non-proper modulus pairs has been developed.
Bruno Kahn +3 more
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On Rham cohomology of locally trivial Lie groupoids over triangulated manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 Based on the isomorphism between Lie algebroid cohomology and piecewise smooth cohomology of a transitive Lie algebroid, it is proved that the Rham cohomology of a locally trivial Lie groupoid G on a smooth manifold M is isomorphic to the piecewise Rham ...
Jose R. Oliveira
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Splitting Extensions of Nonassociative Algebras and Modules with Metagroup Relations
Axioms, 2022 A class of nonassociative algebras is investigated with mild relations induced from metagroup structures. Modules over nonassociative algebras are studied. For a class of modules over nonassociative algebras, their extensions and splitting extensions are
Sergey Victor Ludkowski
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