Rank two ADHM invariants and wallcrossing
Journal
Communications in Number Theory and Physics
Journal Volume
4
Journal Issue
2
Pages
417-461
Date Issued
2010
Author(s)
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.
SDGs
Type
journal article