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arXiv · 2104.08780

Relative orbifold Pandharipande-Thomas theory and the degeneration formula

Yijie Lin
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Abstract

We construct relative moduli spaces of semistable pairs on a family of projective Deligne-Mumford stacks. We define moduli stacks of stable orbifold Pandharipande-Thomas pairs on stacks of expanded degenerations and pairs, and then show they are separated and proper Deligne-Mumford stacks of finite type. As an application, we present the degeneration formula for the absolute and relative orbifold Pandharipande-Thomas invariants.

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Yijie Lin. 2021-04-18. Relative orbifold Pandharipande-Thomas theory and the degeneration formula. https://doi.org/10.1093/imrn%2Frnab347

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