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arXiv · 1911.09825

Virtual cycles of stable (quasi)-maps with fields

Qile Chen·Felix Janda·Rachel Webb
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Abstract

We generalize the results of Chang-Li, Kim-Oh and Chang-Li on the moduli of $p$-fields to the setting of (quasi-)maps to complete intersections in arbitrary smooth Deligne-Mumford stacks with projective coarse moduli. In particular, we show that the virtual cycle of stable (quasi-)maps to a complete intersection can be recovered by the cosection localized virtual cycle of the moduli of $p$-fields of the ambient space.

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Qile Chen, Felix Janda, Rachel Webb. 2019-11-22. Virtual cycles of stable (quasi)-maps with fields. https://doi.org/10.1016/j.aim.2021.107781

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