A faithful linear-categorical action of the mapping class group of a surface with boundary

Robert Lipshitz, Peter S. Ozsväth, Dylan P. Thurston

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. This paper is designed partly as an introduction to the subject, and much of it should be readable without a background in Floer homology.

Original languageEnglish (US)
Pages (from-to)1279-1307
Number of pages29
JournalJournal of the European Mathematical Society
Volume15
Issue number4
DOIs
StatePublished - 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Keywords

  • Categorical group actions
  • Heegaard floer homology
  • Mapping class group

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