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.

39 pages, agrees with published version

References in corpus (4)

• Mixed-Spin-P fields of Fermat quintic polynomials
• A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds
• Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds
• Punctured logarithmic maps

Cited by in corpus (3)

• Quantum Lefschetz without curves
• The Moduli of Sections Has a Canonical Obstruction Theory
• A categorification of the quantum Lefschetz principle