Results 61 to 70 of about 112,965 (264)

Maurer-Cartan characterization, cohomology and deformations of equivariant Lie superalgebras [PDF]

arXiv, 2022
In this article, we give Maurer-Cartan characterizations of equivariant Lie superalgebra structures. We introduce equivariant cohomology and equivariant formal deformation theory of Lie superalgebras. As an application of equivariant cohomology we study the equivariant formal deformation theory of Lie superalgebras.
arxiv  

Dynamical Gelfand-Zetlin algebra and equivariant cohomology of Grassmannians [PDF]

, 2015
We consider the rational dynamical quantum group $E_y(gl_2)$ and introduce an $E_y(gl_2)$-module structure on $\oplus_{k=0}^n H^*_{GL_n\times\C^\times}(T^*Gr(k,n))'$, where $H^*_{GL_n\times\C^\times}(T^*Gr(k,n))'$ is the equivariant cohomology algebra $H^
Richárd Rimányi, A. Varchenko
semanticscholar   +1 more source

Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups [PDF]

, 2017
A twist is a datum playing a role of a local system for topological $K$-theory. In equivariant setting, twists are classified into four types according to how they are realized geometrically.
Gomi, Kiyonori
core   +1 more source

Crystallographic interacting topological phases and equivariant cohomology: to assume or not to assume

Journal of High Energy Physics, 2021
For symmorphic crystalline interacting gapped systems we derive a classification under adiabatic evolution. This classification is complete for non-degenerate ground states.
Daniel Sheinbaum, Omar Antolín Camarena
doaj   +1 more source

Chiral equivariant cohomology I

Advances in Mathematics, 2007
We construct a new equivariant cohomology theory for a certain class of differential vertex algebras, which we call the chiral equivariant cohomology. A principal example of a differential vertex algebra in this class is the chiral de Rham complex of Malikov-Schechtman-Vaintrob of a manifold with a group action.
Lian, B.H., Linshaw, A.R.
openaire   +3 more sources

Quasi-Elliptic Cohomology of 4-Spheres

Axioms
It is a famous hypothesis that orbifold D-brane charges in string theory can be classified in twisted equivariant K-theory. Recently, it is believed that the hypothesis has a non-trivial lift to M-branes classified in twisted real equivariant 4 ...
Zhen Huan
doaj   +1 more source

HIGHER GENUS GROMOV–WITTEN THEORY OF $\mathsf{Hilb}^{n}(\mathbb{C}^{2})$ AND $\mathsf{CohFTs}$ ASSOCIATED TO LOCAL CURVES

Forum of Mathematics, Pi, 2019
We study the higher genus equivariant Gromov–Witten theory of the Hilbert scheme of $n$ points of $\mathbb{C}^{2}$. Since the equivariant quantum cohomology, computed by Okounkov and Pandharipande [Invent. Math.
RAHUL PANDHARIPANDE, HSIAN-HUA TSENG
doaj   +1 more source

Comments on chiral algebras and Ω-deformations

Journal of High Energy Physics, 2021
Every six-dimensional N $$ \mathcal{N} $$ = (2, 0) SCFT on R 6 contains a set of protected operators whose correlation functions are controlled by a two-dimensional chiral algebra.
Nikolay Bobev, Pieter Bomans, Fridrik Freyr Gautason   +2 more
doaj   +1 more source

Equivariant elliptic cohomology, gauged sigma models, and discrete torsion

, 2020
For $G$ a finite group, we show that functions on fields for the 2-dimensional supersymmetric sigma model with background $G$-symmetry determine cocycles for complex analytic $G$-equivariant elliptic cohomology.
Daniel Berwick-Evans
semanticscholar   +1 more source

Topology of generalized complex quotients

, 2008
Consider the Hamiltonian action of a torus on a compact twisted generalized complex manifold $M$. We first observe that Kirwan injectivity and surjectivity hold for ordinary equivariant cohomology in this setting.
Atiyah, Atiyah, Atiyah, Ben-Bassat, Bursztyn, Cavalcanti, Caviedes, Gilbarg, Goldin, Guillemin, Guillemin, Hitchin, Hu, Hu, Izu, Lin, Lin, Lin, Matsumura, McCleary, Nitta, Stiénon, Thomas Baird, Tolman, Weibel, Yi Lin   +25 more
core   +1 more source