Chamber structure and wallcrossing in the ADHM theory of curves II

被引：5

作者：

Chuang, Wu-yen ^{[2
]}

Diaconescu, Duiliu-Emanuel ^{[1
]}

Pan, Guang ^{[1
]}

机构：

[1] Rutgers State Univ, NHETC, Piscataway, NJ 08854 USA

[2] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2012年 / 62卷 / 02期

基金：

美国国家科学基金会;

关键词：

Donaldson-Thomas invariants; Wallcrossing; Quiver sheaves; ABELIAN CATEGORIES; STABILITY CONDITIONS; CONFIGURATIONS; INVARIANTS; STACKS;

D O I：

10.1016/j.geomphys.2011.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This is the second part of a project concerning variation of stability and chamber structure for ADHM invariants of curves. Wallcrossing formulas for such invariants are derived using the theory of stack function Ringel-Hall algebras constructed by Joyce and the theory of generalized Donaldson-Thomas invariants of Joyce and Song. Some applications are presented, including strong rationality for local stable pair invariants of higher genus curves, and comparison with wallcrossing formulas of Kontsevich and Soibelman, and the halo formula of Denef and Moore. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：548 / 561

页数：14

共 17 条

[1]

Chuang W.-y., ARXIV10044195

[2]

Comtet L., 1974, ADV COMBINATORICS

[3]

Denef F., ARXIORGHEPTH0702146

[4]

Diaconescu D.E., ARXIVORG08010820