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

Abstract

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

27 pages, 9 figures. V2: Incorporates revisions from referees

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