English

Invariants of stable quasimaps with fields

Algebraic Geometry 2018-04-17 v1

Abstract

For an arbitrary smooth hypersurface X in a projective space, we construct its LG moduli of quasimaps with P fields. Apply Kiem-Li's cosection localization we obtain a virtual fundamental class. We show the class coincides, up to sign, with that of moduli of quasimaps to X. This generalizes Chang-Li's numerical identity to the cycle level, and from Gromov Witten invariants to quasimap invariants.

Keywords

Cite

@article{arxiv.1804.05310,
  title  = {Invariants of stable quasimaps with fields},
  author = {Huai-Liang Chang and Mu-lin Li},
  journal= {arXiv preprint arXiv:1804.05310},
  year   = {2018}
}
R2 v1 2026-06-23T01:23:54.991Z