JournalsjemsVol. 15, No. 4pp. 1279–1307

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

  • Robert Lipshitz

    Columbia University, New York, USA

  • Peter S. Ozsváth

    Princeton University, USA

  • Dylan P. Thurston

    Indiana University, Bloomington, USA
A faithful linear-categorical action of the mapping class group of a surface with boundary cover
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Abstract

We show that the action of the mapping class group on bordered Floer homology in the second to extremal spin-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.

Cite this article

Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston, A faithful linear-categorical action of the mapping class group of a surface with boundary. J. Eur. Math. Soc. 15 (2013), no. 4, pp. 1279–1307

DOI 10.4171/JEMS/392