TY - JOUR
T1 - Orbifold quasimap theory
AU - Cheong, Daewoong
AU - Ciocan-Fontanine, Ionuţ
AU - Kim, Bumsig
N1 - Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.
PY - 2015/12/1
Y1 - 2015/12/1
N2 - 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).
AB - 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).
KW - 14D23
KW - 14N35
KW - Primary 14D20
UR - http://www.scopus.com/inward/record.url?scp=84945484461&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84945484461&partnerID=8YFLogxK
U2 - 10.1007/s00208-015-1186-z
DO - 10.1007/s00208-015-1186-z
M3 - Article
AN - SCOPUS:84945484461
SN - 0025-5831
VL - 363
SP - 777
EP - 816
JO - Mathematische Annalen
JF - Mathematische Annalen
IS - 3-4
ER -