Relative orbifold Pandharipande-Thomas theory and the degeneration formula
Algebraic Geometry
2022-01-31 v3
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.
Keywords
Cite
@article{arxiv.2104.08780,
title = {Relative orbifold Pandharipande-Thomas theory and the degeneration formula},
author = {Yijie Lin},
journal= {arXiv preprint arXiv:2104.08780},
year = {2022}
}