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

Robert Lipshitz; Peter S. Ozsváth; Dylan P. Thurston

doi:10.4171/jems/392

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arXiv · 1012.1032

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

Robert Lipshitz·Peter S. Ozsváth·Dylan P. Thurston

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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^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.

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Robert Lipshitz, Peter S. Ozsváth, Dylan P. Thurston. 2014-02-11. A faithful linear-categorical action of the mapping class group of a surface with boundary. https://doi.org/10.4171/jems%2F392

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