Virtual cycles of stable (quasi)-maps with fields

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.

arXiv comment39 pages, agrees with published version

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• The Abelian-Nonabelian Correspondence for $I$-functions
• Localized Chern Characters for 2-periodic complexes
• Quantum Lefschetz without curves
• The Moduli of Sections Has a Canonical Obstruction Theory
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