Donaldson-Thomas invariants for complexes on abelian threefolds

Details Donaldson-Thomas invariants for complexes on abelian threefolds Donaldson-Thomas invariants for complexes on abelian threefolds

2011-11-03

arxiv.org/abs/1111.0874v1

Mathematics

Algebraic Geometry

16 pages

Scientific paper

10.1007/s00209-012-1002-3

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.

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