Results 101 to 110 of about 45,480 (208)

Equivariant cohomology distinguishes toric manifolds [PDF]

, 2007
The equivariant cohomology of a space with a group action is not only a ring but also an algebra over the cohomology ring of the classifying space of the acting group. We prove that toric manifolds (i.e.
Mikiya Masuda, Masuda, Mikiya
core   +1 more source

EQUIVARIANT COHOMOLOGY AND REPRESENTATIONS OF THE SYMMETRIC GROUP [PDF]

Chinese Annals of Mathematics, 2001
A cohomological study is made of an equivariant map betwen the configuration space of n points in space and the flag manifold of U(n).
openaire   +3 more sources

Twisting and localization in supergravity: equivariant cohomology of BPS black holes

Journal of High Energy Physics, 2019
We develop the formalism of supersymmetric localization in supergravity using the deformed BRST algebra defined in the presence of a supersymmetric background as recently formulated in [1].
Imtak Jeon, Sameer Murthy
doaj   +1 more source

Equivariant Cohomology for Cyclic Groups

International Mathematics Research Notices
Abstract In this paper, we compute the $RO(C_{n})$-graded coefficient ring of equivariant cohomology for cyclic groups $C_{n}$, in the case of Burnside ring coefficients, and in the case of constant coefficients. We use the invertible Mackey functors under the box product to reduce the gradings in the computation from $RO(C_{n})$ to ...
Basu, Samik, Dey, Pinka
openaire   +3 more sources

G-Spaces with Prescribed Equivariant Cohomology [PDF]

Proceedings of the American Mathematical Society, 1983
Let G G be a finite group. In this note we study the question of realizing a collection of graded commutative algebras over
openaire   +2 more sources

Equivariant cohomology and equivariant intersection theory [PDF]

, 1998
This text is an introduction to equivariant cohomology, a classical tool for topological transformation groups, and to equivariant intersection theory, a much more recent topic initiated by D. Edidin and W. Graham. It is based on lectures given at Montréal is Summer 1997.
openaire   +2 more sources

Vanishing results for the cohomology of complex toric hyperplane complements [PDF]

Suppose R is the complement of an essential arrangement of toric hyperlanes in the complex torus and ? = ?1(R). We show that H*(R;A) vanishes except in the top degree n when A is one of the following systems of local coefficients: (a) a system of ...
Simona Settepanella, Mike W. Davis
core  

Higher Order Geometric Theory of Information and Heat Based on Poly-Symplectic Geometry of Souriau Lie Groups Thermodynamics and Their Contextures: The Bedrock for Lie Group Machine Learning

Entropy, 2018
We introduce poly-symplectic extension of Souriau Lie groups thermodynamics based on higher-order model of statistical physics introduced by Ingarden. This extended model could be used for small data analytics and machine learning on Lie groups.
Frédéric Barbaresco
doaj   +1 more source

Splines on Cayley graphs of the symmetric group

Forum of Mathematics, Sigma
A spline is an assignment of polynomials to the vertices of a graph whose edges are labeled by ideals, where the difference of two polynomials labeling adjacent vertices must belong to the corresponding ideal. The set of splines forms a ring. We consider
Nathan R. T. Lesnevich
doaj   +1 more source

The equivariant B model

Journal of High Energy Physics
In this work, we introduce an equivariant deformation of the B model on the sphere with a U(1)-action. We present the deformed supersymmetry transformations and corresponding Lagrangians and study observables in the supercharge cohomology.
Guido Festuccia, Roman Mauch, Maxim Zabzine   +2 more
doaj   +1 more source