Arithmetic harmonic analysis on character and quiver Varieties II

被引：32

作者：

Hausel, Tamas ^{[1
]}

Letellier, Emmanuel ^{[2
,3
]}

Rodriguez-Villegas, Fernando ^{[4
]}

机构：

[1] EPF Lausanne, Lausanne, Switzerland

[2] Univ Caen Basse Normandie, Caen, France

[3] CNRS, UMR 6139, F-75700 Paris, France

[4] Univ Texas Austin, Austin, TX 78712 USA

来源：

ADVANCES IN MATHEMATICS | 2013年 / 234卷

基金：

美国国家科学基金会; 英国工程与自然科学研究理事会;

关键词：

Character varieties; Quiver representations; Hilbert schemes; Representations of finite general linear groups; REPRESENTATIONS; SURFACES; SHEAVES;

D O I：

10.1016/j.aim.2012.10.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study connections between the topology of generic character varieties of fundamental groups of punctured Riemann surfaces, Macdonald polynomials, quiver representations, Hilbert schemes on C-x x C-x, modular forms and multiplicities in tensor products of irreducible characters of finite general linear groups. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：85 / 128

页数：44

共 23 条

[1]

[Anonymous], PUBL MATH IHES

[2] Indecomposable parabolic bundles - and the existence of matrices in prescribed conjugacy class closures with product equal to the identity [J].