Results 31 to 40 of about 167,457 (236)
On the blow-up formula of twisted de Rham cohomology [PDF]
Annals of Global Analysis and Geometry, 2018 We derive a blow-up formula for the de Rham cohomology of a local system of complex vector spaces on a compact complex manifold. As an application, we obtain the blow-up invariance of $$E_{1}$$E1-degeneracy of the Hodge–de Rham spectral sequence ...
Youming Chen, Song Yang
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Equivariant de Rham cohomology: theory and applications [PDF]
São Paulo Journal of Mathematical Sciences, 2018 This is a survey on the equivariant cohomology of Lie group actions on manifolds, from the point of view of de Rham theory. Emphasis is put on the notion of equivariant formality, as well as on applications to ordinary cohomology and to fixed points.
Oliver Goertsches, L. Zoller
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A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
Advances in Mathematical Physics, 2021 In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial ...
Ali H. Alkhaldi +3 more
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On twisted de Rham cohomology [PDF]
Nagoya Mathematical Journal, 1997 Abstract.Consider the complex of differential forms on an open affine subvarietyUofANwith differentialwheredis the usual exterior derivative and ø is a fixed 1-form onU. For certainUand ø, we compute the cohomology of this complex.
Adolphson, Alan, Sperber, Steven
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Differential characters of Drinfeld modules and de Rham cohomology [PDF]
Algebra & Number Theory, 2017 We introduce differential characters of Drinfeld modules. These are function-field analogues of Buium's p-adic differential characters of elliptic curves and of Manin's differential characters of elliptic curves in differential algebra, both of which ...
J. Borger, A. Saha
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Equivariant cohomology over Lie groupoids and Lie-Rinehart algebras [PDF]
, 2009 Using the language and terminology of relative homological algebra, in particular that of derived functors, we introduce equivariant cohomology over a general Lie-Rinehart algebra and equivariant de Rham cohomology over a locally trivial Lie groupoid in ...
A. Dold +33 more
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On quantum de Rham cohomology theory [PDF]
Electronic Research Announcements of the American Mathematical Society, 1999 We define the quantum exterior product ∧ h \wedge _h and quantum exterior differential d h d_h on Poisson manifolds. The quantum de Rham cohomology, which is a deformation quantization of the de Rham cohomology, is defined as the cohomology of d h d_h
Jian Zhou, Huai-Dong Cao
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M-theory moduli from exceptional complex structures
Journal of High Energy Physics, 2023 We continue the analysis of the geometry of generic Minkowski N $$ \mathcal{N} $$ = 1, D = 4 flux compactifications in M-theory using exceptional generalised geometry, including the calculation of the infinitesimal moduli spaces.
George Robert Smith, Daniel Waldram
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Integral p-adic Hodge theory [PDF]
, 2018 We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of C_p. It takes values in a mixed-characteristic analogue of Dieudonne modules, which was previously defined by Fargues as a version of Breuil-Kisin ...
Bhatt, Bhargav +2 more
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Cohomology of cluster varieties II: Acyclic case
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2377-2414, December 2023., 2023 Abstract In the previous work, we initiated the study of the cohomology of locally acyclic cluster varieties. In the present work, we show that the mixed Hodge structure and point counts of acyclic cluster varieties are essentially determined by the combinatorics of the independent sets of the quiver. We use this to show that the mixed Hodge numbers of
Thomas Lam, David E Speyer
wiley +1 more source