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Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula

Zhou, Zijun

We generalize the notion of expanded degenerations and pairs for a simple degeneration or smooth pair to the case of smooth Deligne-Mumford stacks. We then define stable quotients on the classifying stacks of expanded degenerations and pairs and prove the properness of their moduli’s. On 3-dimensional smooth projective DM stacks this leads to a definition of relative Donaldson-Thomas invariants and the associated degeneration formula.

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More About This Work

Academic Units
Mathematics
Thesis Advisors
Liu, Chiu-Chu
Degree
Ph.D., Columbia University
Published Here
May 11, 2017