Chamber structure and wallcrossing in the ADHM theory of curves II

Wu yen Chuang, Duiliu Emanuel Diaconescu, Guang Pan

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)548-561
Number of pages14
JournalJournal of Geometry and Physics
Volume62
Issue number2
DOIs
StatePublished - Feb 2012

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Geometry and Topology

Keywords

  • Donaldson-Thomas invariants
  • Quiver sheaves
  • Wallcrossing

Fingerprint

Dive into the research topics of 'Chamber structure and wallcrossing in the ADHM theory of curves II'. Together they form a unique fingerprint.

Cite this