English

Orbifold Quasimap Theory

Algebraic Geometry 2015-03-05 v2

Abstract

We extend to orbifolds the quasimap theory of arXiv:0908.4446 and arXiv:1106.3724, as well as the genus zero wall-crossing results from arXiv:1304.7056 and arXiv:1401.7417. As a consequence, we obtain generalizations of orbifold mirror theorems, in particular, of the mirror theorem for toric orbifolds recently proved independently by Coates, Corti, Iritani, and Tseng (arXiv:1310.4163).

Keywords

Cite

@article{arxiv.1405.7160,
  title  = {Orbifold Quasimap Theory},
  author = {Daewoong Cheong and Ionut Ciocan-Fontanine and Bumsig Kim},
  journal= {arXiv preprint arXiv:1405.7160},
  year   = {2015}
}

Comments

42 pages, Add an extended result (see remark 5.7), To appear in Mathematische Annalen

R2 v1 2026-06-22T04:24:55.513Z