Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1893856 | Journal of Geometry and Physics | 2012 | 14 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Guang Pan,