Cohomology of quiver moduli, functional equations, and integrality of Donaldson-Thomas type invariants

被引：41

作者：

Reineke, Markus ^{[1
]}

机构：

[1] Berg Univ Wuppertal, Fachbereich Math C, D-42097 Wuppertal, Germany

来源：

COMPOSITIO MATHEMATICA | 2011年 / 147卷 / 03期

关键词：

quiver moduli; functional equations; wall crossing; Donaldson-Thomas invariants;

D O I：

10.1112/S0010437X1000521X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A system of functional equations relating the Euler characteristics of moduli spaces of stable representations of quivers and the Euler characteristics of (Hilbert-scheme-type) framed versions of quiver moduli is derived. This is applied to wall-crossing formulas for the Donaldson-Thomas type invariants of M. Kontsevich and Y. Soibelman, in particular confirming their integrality.

引用

页码：943 / 964

页数：22

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