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Chamber Structure and Wallcrossing in the ADHM Theory of Curves II

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.

preprint2011arXivOpen access
Wu-yen ChuangDuiliu-Emanuel DiaconescuGuang Pan
math.AGhep-th
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Wu-yen ChuangDuiliu-Emanuel DiaconescuGuang Pan

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