Results 91 to 100 of about 81,882 (247)

The Shi variety corresponding to an affine Weyl group

Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 913-940, March 2025.
Abstract Let W$W$ be an irreducible Weyl group and Wa$W_a$ its affine Weyl group. In this article we show that there exists a bijection between Wa$W_a$ and the integral points of an affine variety, denoted X̂Wa$\widehat{X}_{W_a}$, which we call the Shi variety of Wa$W_a$.
Nathan Chapelier‐Laget
wiley   +1 more source

On equivariant quantum cohomology

International Mathematics Research Notices, 1995
13 pages, To appear in IMRN LaTex ...
openaire   +3 more sources

Affine Non‐Reductive GIT and moduli of representations of quivers with multiplicities

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract We give an explicit approach to quotienting affine varieties by linear actions of linear algebraic groups with graded unipotent radical, using results from projective Non‐Reductive GIT. Our quotients come with explicit projective completions, whose boundaries we interpret in terms of the original action.
Eloise Hamilton, Victoria Hoskins, Joshua Jackson   +2 more
wiley   +1 more source

Rigidity of quantum algebras

Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.
Abstract Given an associative C$\mathbb {C}$‐algebra A$A$, we call A$A$ strongly rigid if for any pair of finite subgroups of its automorphism groups G,H$G, H$, such that AG≅AH$A^G\cong A^H$, then G$G$ and H$H$ must be isomorphic. In this paper, we show that a large class of filtered quantizations are strongly rigid.
Akaki Tikaradze
wiley   +1 more source

The equivariant topology of stable Kneser graphs [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
Schrijver introduced the stable Kneser graph $SG_{n,k}, n \geq 1, k \geq 0$. This graph is a vertex critical graph with chromatic number $k+2$, its vertices are certain subsets of a set of cardinality $m=2n+k$.
Carsten Schultz
doaj   +1 more source

Localisation in Equivariant Cohomology

, 2023
Equivariant cohomology, a captivating fusion of symmetry and abstract mathematics, illuminates the profound role of group actions in shaping geometric structures. At its core lies the Atiyah-Bott Localization Theorem, a mathematical jewel unveiling the art of localization.
Notman, Catherine C., Sanabani, Muaadh A.   +1 more
openaire   +2 more sources

The Mumford conjecture (after Bianchi)

Journal of Topology, Volume 18, Issue 1, March 2025.
Abstract We give a self‐contained and streamlined rendition of Andrea Bianchi's recent proof of the Mumford conjecture using moduli spaces of branched covers.
Ronno Das, Dan Petersen
wiley   +1 more source

Difference equations: From Berry connections to the Coulomb branch

SciPost Physics
In recent work, we demonstrated that a spectral variety for the Berry connection of a 2d $\mathcal{N}=(2,2)$ GLSM with Kähler vacuum moduli space $X$ and Abelian flavour symmetry is the support of a sheaf induced by a certain action on the equivariant ...
Andrea E. V. Ferrari, Daniel Zhang
doaj   +1 more source

A tight colored Tverberg theorem for maps to manifolds (extended abstract) [PDF]

Discrete Mathematics & Theoretical Computer Science, 2011
Any continuous map of an $N$-dimensional simplex $Δ _N$ with colored vertices to a $d$-dimensional manifold $M$ must map $r$ points from disjoint rainbow faces of $Δ _N$ to the same point in $M$, assuming that $N≥(r-1)(d+1)$, no $r$ vertices of $Δ _N ...
Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler   +2 more
doaj   +1 more source

Differential Borel equivariant cohomology via connections [PDF]

arXiv, 2016
For a compact Lie group acting on a smooth manifold, we define the differential cohomology of a certain quotient stack involving principal bundles with connection. This produces differential equivariant cohomology groups that map to the Cartan-Weil equivariant forms and to Borel's equivariant integral cohomology. We show the Chern-Weil homomorphism for
arxiv