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A degeneration formula of Donaldson-Thomas invariants

Posted on:2008-09-01Degree:Ph.DType:Dissertation
University:Stanford UniversityCandidate:Wu, BaosenFull Text:PDF
GTID:1445390005467458Subject:Mathematics
Abstract/Summary:
This is part of the project of relative Donaldson-Thomas theory of ideal sheaves on projective threefolds. We propose a definition of the moduli stack of stable relative ideal sheaves, and prove that it is a proper Deligne-Mumford stack. Based on these, we state a degeneration formula of Donaldson-Thomas invariants of threefolds.
Keywords/Search Tags:Donaldson-thomas, Degeneration formula, Ideal sheaves
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