English

Donaldson-Thomas invariants for complexes on abelian threefolds

Algebraic Geometry 2012-04-23 v1

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.

Keywords

Cite

@article{arxiv.1111.0874,
  title  = {Donaldson-Thomas invariants for complexes on abelian threefolds},
  author = {Martin G. Gulbrandsen},
  journal= {arXiv preprint arXiv:1111.0874},
  year   = {2012}
}

Comments

16 pages

R2 v1 2026-06-21T19:30:30.543Z