Global ETD Search

Quantized multiplicative quiver varieties and actions of higher genus braid groups

Jordan, David AndrewMassachusetts Institute of Technology2011

… of algebras called quantized multiplicative quiver varieties A (Q), is constructed, depending upon a quiver Q, its dimension vector d, and a certain "moment map" parameter . The algebras Ad(Q) are obtained via quantum Hamiltonian reduction of another algebra D,(Matd(Q)) relative to a quantum …

mit Repository record for Quantized multiplicative quiver varieties and actions of higher genus braid groups (opens in a new tab)

Equivariant resolutions of singularities for orbits in generalized quiver varieties arising in the local Langlands program for p-adic groups

Benesh, Joel L. E., University of Lethbridge. Faculty of Arts and Science2022

lethbridge

Geometry and representation theory of symplectic singularities in the context of symplectic duality

Krylov, VasilyMassachusetts Institute of Technology2024

… multiplication operators for type A Nakajima quiver varieties by examining Bethe subalgebras in Yangians and linking their spectrum with Kirillov-Reshetikhin crystals.

mit Repository record for Geometry and representation theory of symplectic singularities in the context of symplectic duality (opens in a new tab)

Geometry Of Quivers

Durkin, Patrick Andrew

<p>A quiver is a directed graph, but the term usually implies such a graph is being considered along with representations. These representations consist of vector spaces and linear transformations. We explore some the connections between quivers and geometric structures. To begin, we consider a …

nodak Repository record for Geometry Of Quivers (opens in a new tab)

Equivariant quantum cohomology and the geometric Satake equivalence

Viscardi, MichaelMassachusetts Institute of Technology2016

… are expected to be symplectic duals of Nakajima quiver varieties, and thus our result is an analogue of (part of) the work of Maulik and Okounkov in the symplectic dual setting.

mit Repository record for Equivariant quantum cohomology and the geometric Satake equivalence (opens in a new tab)

Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua

Barns-Graham, Alexander EdwardUniversity of Cambridge2019

… natural class of hyperKähler cones are Nakajima quiver varieties. We compute the index of the $A$-type quiver varieties by making use of the fact that they are submanifolds of instanton moduli space invariant under an isometry. Every Nakajima quiver variety arises as the Higgs branch of a three …

cambridge Repository record for Much ado about nothing: The superconformal index and Hilbert series of three dimensional N =4 vacua (opens in a new tab)

On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution

Im, Mee SeongUniversity of Illinois at Urbana-Champaign2014

… the notion of filtered representations of quivers, which is related to usual quiver representations, but is a systematic generalization of conjugacy classes of $n\times n$ matrices to (block) upper triangular matrices up to conjugation by invertible (block) upper triangular matrices. With …

uiuc Repository record for On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution (opens in a new tab)