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arXiv · 1504.02303

Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula

Zijun Zhou
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Abstract

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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Zijun Zhou. 2015-04-09. Relative Orbifold Donaldson-Thomas Theory and the Degeneration Formula. https://arxiv.org/abs/1504.02303

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