Results 41 to 50 of about 173,448 (222)
Superforms, tropical cohomology, and Poincaré duality [PDF]
Advances in Geometry, 2015 We establish a canonical isomorphism between two bigraded cohomology theories for polyhedral spaces: Dolbeault cohomology of superforms and tropical cohomology.
Philipp Jell +2 more
semanticscholar +1 more source
Tate and Tate-Hochschild Cohomology for finite dimensional Hopf Algebras
, 2013 Let A be any finite dimensional Hopf algebra over a field k. We specify the Tate and Tate-Hochschild cohomology for A and introduce cup products that make them become graded rings. We establish the relationship between these rings.
Nguyen, Van C.
core +1 more source
Computations of Nambu-Poisson cohomologies
International Journal of Mathematics and Mathematical Sciences, 2001 We want to associate to an n-vector on a manifold of dimension n a cohomology which generalizes the Poisson cohomology of a 2-dimensional Poisson manifold. Two possibilities are given here.
Philippe Monnier
doaj +1 more source
Cohomology Theory of Nonassociative Algebras with Metagroup Relations
Axioms, 2019 Nonassociative algebras with metagroup relations and their modules are studied. Their cohomology theory is scrutinized. Extensions and cleftings of these algebras are studied. Broad families of such algebras and their acyclic complexes are described. For
Sergey V. Ludkowski
doaj +1 more source
On Schubert calculus in elliptic cohomology [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 An important combinatorial result in equivariant cohomology and $K$-theory Schubert calculus is represented by the formulas of Billey and Graham-Willems for the localization of Schubert classes at torus fixed points.
Cristian Lenart, Kirill Zainoulline
doaj +1 more source
Integration of simplicial forms and Deligne cohomology
, 2004 We present two approaches to constructing an integration map for smooth Deligne cohomology. The first is defined in the simplicial model, where a class in Deligne cohomology is represented by a simplicial form, and the second in a related but more ...
Deligne Cohomology +5 more
core +3 more sources
Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, EarlyView.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
wiley +1 more source
Alternative formulations of the twistor double copy
Journal of High Energy Physics, 2022 The classical double copy relating exact solutions of biadjoint scalar, gauge and gravity theories continues to receive widespread attention. Recently, a derivation of the exact classical double copy was presented, using ideas from twistor theory, in ...
Erick Chacón +2 more
doaj +1 more source
Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, EarlyView.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Dirac cohomology, elliptic representations and endoscopy
, 2015 The first part (Sections 1-6) of this paper is a survey of some of the recent developments in the theory of Dirac cohomology, especially the relationship of Dirac cohomology with (g,K)-cohomology and nilpotent Lie algebra cohomology; the second part ...
A W Knapp +40 more
core +2 more sources