Communications in Number Theory and Physics
Volume 4 (2010)
Rank two ADHM invariants and wallcrossing
Pages: 417 – 461
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.