Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula
By: Zijun Zhou
Publisher: [publisher not identified]
Published: 2017
Place of publication: [New York, N.Y.?]
Language: eng
Description: 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.
Notes: Department: Mathematics.

Thesis advisor: Chiu-Chu Liu.

Thesis (Ph.D.)--Columbia University, 2017.