2017 Theses Doctoral
Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula
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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- Zhou_columbia_0054D_13834.pdf application/pdf 661 KB Download File
More About This Work
- Academic Units
- Mathematics
- Thesis Advisors
- Liu, Chiu-Chu
- Degree
- Ph.D., Columbia University
- Published Here
- May 11, 2017