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Differential Forms and Cohomology on Weil Bundles
Published 2023-01-01“…We discuss the differential forms in the Weil bundles MA,π,M, and we established a link between differential forms in MA and M as well as their cohomology. We also discuss the cohomology in.…”
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84
STABILITY, COHOMOLOGY VANISHING, AND NONAPPROXIMABLE GROUPS
Published 2020-01-01“…These groups act on high-rank Bruhat–Tits buildings and satisfy the needed vanishing cohomology phenomenon and are thus stable and not Frobenius-approximated.…”
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On the Properties of Formal Local Cohomology Modules
Published 2023-05-01Subjects: “…formal local cohomology modules…”
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86
On the Hochschild cohomology theory of A∞-algebra
Published 2019-09-01“…A Vanishing Hochschild cohomology for a special degree gives vanishing for the set D(A, A). …”
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87
BRST cohomology of timelike Liouville theory
Published 2020-05-01“…This paper is a companion of [1], and its main goal is to completely characterize the cohomology of the timelike theory with c L ≤ 1 which was defined there. …”
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Cellular Cohomology in Homotopy Type Theory
Published 2020-06-01“…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 common spaces are easier to compute. …”
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Cohomology of simple modules for algebraic groups
Published 2020-03-01Subjects: Get full text
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Cohomology of profinite groups of bounded rank
Published 2021-12-01“…Abstract We generalise to profinite groups some of our previous results on the cohomology of pro‐p groups of bounded sectional p‐rank.…”
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Tangency quantum cohomology and characteristic numbers
Published 2001-09-01Subjects: Get full text
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Operator Homology and Cohomology in Clifford Algebras
Published 2010-01-01Subjects: Get full text
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Hochschild Homology and Cohomology of Klein Surfaces
Published 2008-09-01Subjects: “…Hochschild cohomology…”
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Topological Insulators from Group Cohomology
Published 2016-04-01“…We propose that group cohomology provides a symmetry-based classification of quasimomentum manifolds, which in turn determines the band topology. …”
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96
Dirac geometry II: coherent cohomology
Published 2024-01-01“…Here, we embed this category in the larger $\infty $ -category of Dirac stacks, which also contains formal Dirac schemes, and develop the coherent cohomology of Dirac stacks. We apply the general theory to stable homotopy theory and use Quillen’s theorem on complex cobordism and Milnor’s theorem on the dual Steenrod algebra to identify the Dirac stacks corresponding to $\operatorname {MU}$ and $\mathbb {F}_p$ in terms of their functors of points. …”
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BPS states meet generalized cohomology
Published 2023-07-01“…We argue abstractly that this space contains elements of an equivariant generalized cohomology theory E G ∗ − $$ {E}_G^{\ast}\left(-\right) $$ of the quiver representation moduli space giving concretely Dolbeault cohomology, K-theory or elliptic cohomology depending on the spacial slice is compactified to a point, a circle or a torus respectively, and something more amorphous in other cases. …”
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Cohomological Descent for Faltings Ringed Topos
Published 2024-01-01“…Inspired by Deligne’s approach to classical Hodge theory for singular varieties, we establish a cohomological descent result for the structural sheaf of Faltings topos, which makes it possible to extend Faltings’ approach to any integral model, that is, without any smoothness assumption. …”
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Chern characters in equivariant basic cohomology
Published 2021-02-01“…The purpose of this Note is to establish a geometric realization of the cohomological isomorphism in the case of a transversely oriented Killing foliation on a compact smooth manifold through equivariant basic Chern characters.…”
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