A quantum Leray-Hirsch theorem for banded gerbes

  • Xiang Tang
  • , Hsian Hua Tseng

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

For a gerbe Y over a smooth proper Deligne-Mumford stack B banded by a finite group G, we prove a structure result on the Gromov-Witten theory of Y, expressing Gromov-Witten invariants of Y in terms of Gromov-Witten invariants of B twisted by various flat U(1)-gerbes on B. This can be viewed as a Leray-Hirsch type of result for Gromov-Witten theory of gerbes.

Original languageEnglish
Pages (from-to)459-511
Number of pages53
JournalJournal of Differential Geometry
Volume119
Issue number3
DOIs
StatePublished - 2021

Keywords

  • Gerbe
  • Gromov-Witten invariants
  • Leray-Hirsch

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