Results 41 to 50 of about 167,457 (236)
Symplectic manifolds and cohomological decomposition [PDF]
, 2012 Given a closed symplectic manifold, we study when the Lefschetz decomposition induced by the $\mathfrak{sl}(2;\mathbb{R})$-representation yields a decomposition of the de Rham cohomology.
Angella, Daniele, Tomassini, Adriano
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ON DE RHAM AND DOLBEAULT COHOMOLOGY OF SOLVMANIFOLDS [PDF]
Transformation Groups, 2016 23 pages; to appear in Transformation ...
CONSOLE, Sergio +2 more
openaire +3 more sources
Monodromy of subrepresentations and irreducibility of low degree automorphic Galois representations
Journal of the London Mathematical Society, Volume 108, Issue 6, Page 2436-2490, December 2023., 2023 Abstract Let X$X$ be a smooth, separated, geometrically connected scheme defined over a number field K$K$ and {ρλ:π1(X)→GLn(Eλ)}λ$\lbrace \rho _\lambda :\pi _1(X)\rightarrow \mathrm{GL}_n(E_\lambda )\rbrace _\lambda$ a system of semisimple λ$\lambda$‐adic representations of the étale fundamental group of X$X$ such that for each closed point x$x$ of X$X$
Chun Yin Hui
wiley +1 more source
One-dimensional super Calabi-Yau manifolds and their mirrors
Journal of High Energy Physics, 2017 We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to ℙ 1 $$ {\mathrm{\mathbb{P}}}^1 $$ , namely the projective ...
S. Noja +4 more
doaj +1 more source
Cohomology of semi-invariant submanifolds of cosymplectic manifolds
MANAS: Journal of Engineering, 2021 In this paper, we study de Rham cohomology class for semi-invariant submanifolds of a cosymplectic manifold. We show that there are de Rham cohomolgy class on semi-invariant submanifold of a cosymplectic manifold.
Ramazan Sarı
doaj
An extention of Nomizu’s Theorem –A user’s guide–
Complex Manifolds, 2016 For a simply connected solvable Lie group G with a lattice Γ, the author constructed an explicit finite-dimensional differential graded algebra A*Γ which computes the complex valued de Rham cohomology H*(Γ\G, C) of the solvmanifold Γ\G.
Kasuya Hisashi
doaj +1 more source
de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics [PDF]
, 1998 We study supersymmetric quantum mechanics on RP_{n},SO(n),G_{2} and U(2) to examine Witten's Morse theory concretely. We confirm the simple instanton picture of the de Rham cohomology that has been given in a previous paper.
Kazuto Oshima, Witten E.
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Cohomology of the variational complex in BRST theory [PDF]
, 2001 We show that cohomology of the variational complex in field-antifield BRST theory on an arbitrary manifold is equal to the de Rham cohomology of this manifold.Comment: 17 ...
GENNADI SARDANASHVILY, Sardanashvily G.
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Hodge theory on Cheeger spaces [PDF]
, 2015 We extend the study of the de Rham operator with ideal boundary conditions from the case of isolated conic singularities, as analyzed by Cheeger, to the case of arbitrary stratified pseudomanifolds.
Albin, Pierre +3 more
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de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence [PDF]
, 2022 This thesis will discuss the de Rham cohomology, homotopy invariance and the Mayer-Vietoris sequence. First the necessary information for this thesis is discussed such as differential p-forms, the exterior derivative as well as pull back of a map. The de
Cox, Stacey Elizabeth
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