Results 1 to 10 of about 17,373 (192)
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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On the de Rham homology and cohomology of a complete local ring in equicharacteristic zero [PDF]
, 2017 Let $A$ be a complete local ring with a coefficient field $k$ of characteristic zero, and let $Y$ be its spectrum. The de Rham homology and cohomology of $Y$ have been defined by R. Hartshorne using a choice of surjection $R \rightarrow A$ where $R$ is a
Switala, Nicholas
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Exponentially twisted de Rham cohomology and rigid cohomology [PDF]
Mathematische Annalen, 2021 AbstractA comparison theorem between exponentially twisted de Rham cohomology and rigid cohomology with coefficients in a Dwork crystal is proved.
Shizhang Li, Dingxin Zhang
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O-minimal De Rham cohomology [PDF]
The Bulletin of Symbolic Logic, 2019 AbstractO-minimal geometry generalizes both semialgebraic and subanalytic geometries, and has been very successful in solving special cases of some problems in arithmetic geometry, such as André–Oort conjecture. Among the many tools developed in an o-minimal setting are cohomology theories for abstract-definable continuous manifolds such as singular ...
Rodrigo Figueiredo
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Hecke operators on de Rham cohomology.
Revista Matemática Complutense, 2004 The author introduces the notion of Hecke operators on de Rham cohomology of a compact oriented manifolds. Such an operator is determined by a pair of covering maps of the given manifold. When the manifolds are regarded as quotients of their universal covering space by discrete subgroup of its group of diffeomorphisms, the properties of these operators
Min Ho Lee
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A simple construction of the Rumin algebra
Comptes Rendus. Mathématique, 2023 The Rumin algebra of a contact manifold is a contact invariant $C_\infty $-algebra of differential forms which computes the de Rham cohomology algebra.
Case, Jeffrey S.
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Bott-Chern hypercohomology and bimeromorphic invariants
Complex Manifolds, 2023 The aim of this article is to study the geometry of Bott-Chern hypercohomology from the bimeromorphic point of view. We construct some new bimeromorphic invariants involving the cohomology for the sheaf of germs of pluriharmonic functions, the truncated ...
Yang Song, Yang Xiangdong
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Topological and Geometrical Properties of k-Symplectic Structures
Axioms, 2022 We study new geometrical and topological aspects of polarized k-symplectic manifolds. In addition, we study the De Rham cohomology groups of the k-symplectic group.
Essabab Said +2 more
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On the Morse–Novikov Cohomology of blowing up complex manifolds
Comptes Rendus. Mathématique, 2020 Inspired by the recent works of S. Rao–S. Yang–X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse–Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse–Novikov cohomology by introducing the relative ...
Zou, Yongpan
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