Orbifold quasimap theory

Daewoong Cheong; Ionuţ Ciocan-Fontanine; Bumsig Kim

doi:10.1007/s00208-015-1186-z

Orbifold quasimap theory

Daewoong Cheong
, Ionuţ Ciocan-Fontanine
, Bumsig Kim

School of Mathematics

Research output: Contribution to journal › Article › peer-review

45 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 language	English (US)
Pages (from-to)	777-816
Number of pages	40
Journal	Mathematische Annalen
Volume	363
Issue number	3-4
DOIs	https://doi.org/10.1007/s00208-015-1186-z
State	Published - Dec 1 2015

Bibliographical note

Publisher Copyright:
© 2015, Springer-Verlag Berlin Heidelberg.

Keywords

14D23
14N35
Primary 14D20

Publisher link

10.1007/s00208-015-1186-z

Find It

Find It at U of M Libraries

Cite this

@article{b99bbee7b1d045749e0bf264cb6bc452,

title = "Orbifold quasimap theory",

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{\textquoteright}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).",

keywords = "14D23, 14N35, Primary 14D20",

author = "Daewoong Cheong and Ionu{\c t} Ciocan-Fontanine and Bumsig Kim",

note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",

year = "2015",

month = dec,

day = "1",

doi = "10.1007/s00208-015-1186-z",

language = "English (US)",

volume = "363",

pages = "777--816",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - Orbifold quasimap theory

AU - Cheong, Daewoong

AU - Ciocan-Fontanine, Ionuţ

AU - Kim, Bumsig

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 - https://www.scopus.com/pages/publications/84945484461

UR - https://www.scopus.com/pages/publications/84945484461#tab=citedBy

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 -

Orbifold quasimap theory

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this