Donaldson-Thomas type invariants via microlocal geometry
2009; Princeton University; Volume: 170; Issue: 3 Linguagem: Inglês
10.4007/annals.2009.170.1307
ISSN1939-8980
Autores Tópico(s)Homotopy and Cohomology in Algebraic Topology
ResumoWe prove that Donaldson-Thomas type invariants are equal to weighted Euler characteristics of their moduli spaces.In particular, such invariants depend only on the scheme structure of the moduli space, not the symmetric obstruction theory used to define them.We also introduce new invariants generalizing Donaldson-Thomas type invariants to moduli problems with open moduli space.These are useful for computing Donaldson-Thomas type invariants over stratifications.M jX !X .Via the embedding M j X ,! M we obtain a conic subscheme C ,! M , the obstruction cone for the embedding X ,! M .The virtual fundamental class is OEX vir D 0 Š OEC .
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