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A Note on Coeffective 1–Differentiable Cohomology
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 After a brief review of some basic notions concerning 1-differentiable cohomology, named here ď-cohomology, we introduce a Lichnerowicz ď– cohomology in a classical way.
Ida Cristian, Mercheşan Sabinşan
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alpha-type Chevalley-Eilenberg cohomology of Hom-Lie algebras and bialgebras [PDF]
, 2019 The purpose of this paper is to define an $\alpha$-type cohomology, which we call $\alpha$-type Chevalley-Eilenberg cohomology, for Hom-Lie algebras.
Hurle, Benedikt, Makhlouf, Abdenacer
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Journal of Geometry and Physics, 2006 We explore differential and algebraic operations on the exterior product of spinor representations and their twists that give rise to cohomology, the spin cohomology. A linear differential operator $d$ is introduced which is associated to a connection $\nabla$ and a parallel spinor $ $, $\nabla =0$, and the algebraic operators $D_{(p)}$ are ...
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On the Cohomology of Topological Semigroups
Communications in Advanced Mathematical Sciences, 2019 In this short note, we give some new results on continuous bounded cohomology groups of topological semigroups with values in complex field. We show that the second continuous bounded cohomology group of a compact metrizable semigroup, is a Banach space.
Maysam Maysami Sadr +1 more
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Deformations of Yang-Baxter operators via n-Lie algebra cohomology
Nuclear Physics B, 2023 We introduce a cohomology theory of n-ary self-distributive objects in the tensor category of vector spaces that classifies their infinitesimal deformations.
Mohamed Elhamdadi, Emanuele Zappala
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Selecta Mathematica, 2017 Let $k$ be a field, $G$ be an abelian group and $r\in \mathbb N$. Let $L$ be an infinite dimensional $k$-vector space. For any $m\in End_k(L)$ we denote by $r(m)\in [0,\infty ]$ the rank of $m$. We define by $R(G,r,k)\in [0,\infty]$ the minimal $R$ such that for any map $A:G \to End_k(L)$ with $r(A(g'+g'')-A(g')-A(g''))\leq r$, $g',g''\in G$ there ...
Kazhdan, David, Ziegler, Tamar
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Notices of the American Mathematical Society, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Floer cohomology of torus fibers and real lagrangians in Fano toric manifolds [PDF]
, 2011 In this article, we consider the Floer cohomology (with $\Z_2$ coefficients) between torus fibers and the real Lagrangian in Fano toric manifolds.
Alston, Garrett, Amorim, Lino
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The Hochschild cohomology ring of the singular cochain algebra of a space [PDF]
, 2011 We determine the algebra structure of the Hochschild cohomology of the singular cochain algebra with coefficients in a field on a space whose cohomology is a polynomial algebra.
Kuribayashi, Katsuhiko
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Arnold Mathematical Journal, 2014 We study homological invariants of smooth families of real quadratic forms as a step towards a "Lagrange multipliers rule in the large" that intends to describe topology of smooth maps in terms of scalar Lagrange functions.
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