Quasimap theory

Ionut Ciocan-Fontanine, Bumsig Kim

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We provide a short introduction to the theory of e-stable quasimaps and its applications via wall-crossing to Gromov-Witten theory of GIT targets.

Original languageEnglish (US)
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
PublisherKYUNG MOON SA Co. Ltd.
Pages615-633
Number of pages19
ISBN (Electronic)9788961058056
StatePublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: Aug 13 2014Aug 21 2014

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014
Volume2

Conference

Conference2014 International Congress of Mathematicans, ICM 2014
CountryKorea, Republic of
CitySeoul
Period8/13/148/21/14

Bibliographical note

Funding Information:
Acknowledgements. The authors thank Daewoong Cheong, Duiliu-Emanuel Diaconescu, and Davesh Maulik for collaboration on parts of this quasimap project. The first named author was partially supported by NSF DMS-1305004 and the second named author was partially supported by KRF 2007-0093859. In addition, the second named author thanks University of Minnesota for hospitality during the writing of the paper.

Publisher Copyright:
© 2014 Proceeding of the International Congress of Mathematicans, ICM 2014. All rights reserved.

Keywords

  • Cohomological Field Theory
  • GIT quotients
  • Gauged Linear s-models
  • Gromov-Witten Theory
  • Mirror Symmetry
  • Quasimaps

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