Donaldson-Thomas invariants for complexes on abelian threefolds
classification
🧮 math.AG
keywords
complexesabeliandeterminantdonaldson-thomasinvariantsmoduliperfectspaces
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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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