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arXiv · 1002.0579

Rank Two ADHM Invariants and Wallcrossing

Wu-yen Chuang·Duiliu-Emanuel Diaconescu·Guang Pan
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Abstract

Generalized Donaldson-Thomas invariants corresponding to local D6-D2-D0 configurations are defined applying the formalism of Joyce and Song to ADHM sheaves on curves. A wallcrossing formula for invariants of D6-rank two is proven and shown to agree with the wallcrossing formula of Kontsevich and Soibelman. Using this result, the asymptotic D6-rank two invariants of (-1,-1) and (0,-2) local rational curves are computed in terms of the D6-rank one invariants.

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Wu-yen Chuang, Duiliu-Emanuel Diaconescu, Guang Pan. 2010-04-08. Rank Two ADHM Invariants and Wallcrossing. https://arxiv.org/abs/1002.0579

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