Results 81 to 90 of about 81,882 (247)

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

Peterson-Lam-Shimozono’s theorem is an affine analogue of quantum Chevalley formula

Forum of Mathematics, Sigma
We give a new proof of an unpublished result of Dale Peterson, proved by Lam and Shimozono, which identifies explicitly the structure constants, with respect to the quantum Schubert basis, for the T-equivariant quantum cohomology $QH^{\bullet }_T(G/P)
Chi Hong Chow
doaj   +1 more source

On equivariant dendriform algebras [PDF]

Colloquium Mathematicum 164 (2021), 283-303, 2019
Dendriform algebras are certain associative algebras whose product splits into two binary operations and the associativity splits into three new identities. In this paper, we study finite group actions on dendriform algebras. We define equivariant cohomology for dendriform algebras equipped with finite group actions similar to the Bredon cohomology for
arxiv   +1 more source

Some applications of canonical metrics to Landau–Ginzburg models

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract It is known that a given smooth del Pezzo surface or Fano threefold X$X$ admits a choice of log Calabi–Yau compactified mirror toric Landau–Ginzburg model (with respect to certain fixed Kähler classes and Gorenstein toric degenerations).
Jacopo Stoppa
wiley   +1 more source

Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Two examples of Diff^+S^1-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented.
Roberto Ferreiro Pérez, Jaime Muñoz Masqué   +1 more
doaj   +1 more source

Chevalley-Monk and Giambelli formulas for Peterson Varieties [PDF]

Discrete Mathematics & Theoretical Computer Science, 2014
A Peterson variety is a subvariety of the flag variety $G/B$ defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows.
Elizabeth Drellich
doaj   +1 more source

Equivariant cohomology and depth

, 2022
Let $n \geq 1$ be an integer, let $V=(\mathbb{Z}/2\mathbb{Z})^{n}$ and let $X$ be a $V$-CW-complex. If $X$ is a finite $CW$-complexe, the equivariant modulo $2$ cohomology of the $V$-CW-complexe $X$, denoted by $H_{V}^{*}(X, \mathbb{F}_{2})$, is a finite type module over the modulo $2$ cohomology of the group $V$, denoted by $H^{*}(V, \mathbb{F}_{2})$.
Bourgiuba, Dorra, Zarati, Said
openaire   +2 more sources

Generalized Equivariant Cohomology and Stratifications [PDF]

Canadian Mathematical Bulletin, 2016
AbstractFor T a compact torus and a generalized T-equivariant cohomology theory, we provide a systematic framework for computing in the context of equivariantly stratified smooth complex projective varieties. This allows us to explicitly compute as an (pt)-module when X is a direct limit of smooth complex projective Tℂ-varieties.
Tyler Holden, Peter Crooks
openaire   +4 more sources

Rational cohomology of M4,1$\mathcal {M}_{4,1}$

Mathematische Nachrichten, Volume 298, Issue 3, Page 1041-1061, March 2025.
Abstract We compute the rational cohomology of the moduli space M4,1$\mathcal {M}_{4,1}$ of nonsingular genus 4 curves with one marked point, using Gorinov–Vassiliev's method.
Yiu Man Wong, Angelina Zheng
wiley   +1 more source

Multiplicative structure in equivariant cohomology

Journal of Pure and Applied Algebra, 2012
We introduce the notion of a strongly homotopy-comultiplicative resolution of a module coalgebra over a chain Hopf algebra, which we apply to proving a comultiplicative enrichment of a well-known theorem of Moore concerning the homology of quotient spaces of group actions.
openaire   +5 more sources