Donaldson-Thomas invariants for complexes on abelian threefolds
arXiv:1111.0874 · doi:10.1007/s00209-012-1002-3
Abstract
We modify the standard perfect symmetric obstruction theory for moduli spaces of simple perfect complexes, to the situation of complexes on abelian threefolds with fixed determinant and Fourier-Mukai determinant. As outcome we attach nontrivial Donaldson-Thomas invariants to moduli spaces for complexes modulo twist and translation.
16 pages