Orbifold quasimap theory

Daewoong Cheong, Ionut Ciocan-Fontanine, Bumsig Kim

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We extend to orbifolds the quasimap theory of Ciocan-Fontanine and Kim (Adv Math 225(6):3022–3051, 2010; J Geom Phys 75:17–47, 2014) as well as the genus zero wall-crossing results from (Algebr Geom 1(4):400–448, 2014; Proceedings of the Conference on the Occasion of Mukai’s 60th Birthday, 2015). As a consequence, we obtain generalizations of orbifold mirror theorems, in particular, of the mirror theorem for toric orbifolds recently proved independently by Coates et al. (A mirror theorem for toric stacks).

Original languageEnglish (US)
Pages (from-to)777-816
Number of pages40
JournalMathematische Annalen
Volume363
Issue number3-4
DOIs
StatePublished - Dec 1 2015

Keywords

  • 14D23
  • 14N35
  • Primary 14D20

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