Rank Two ADHM Invariants and Wallcrossing
Algebraic Geometry
2011-10-26 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1002.0579,
title = {Rank Two ADHM Invariants and Wallcrossing},
author = {Wu-yen Chuang and Duiliu-Emanuel Diaconescu and Guang Pan},
journal= {arXiv preprint arXiv:1002.0579},
year = {2011}
}
Comments
27 pages, AMS LaTex; ver2: minor changes.