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arXiv · 1108.3676

A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action

Kyler Siegel
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Abstract

We give completely combinatorial proofs of the main results of [3] using polygons. Namely, we prove that the mapping class group of a surface with boundary acts faithfully on a finitely-generated linear category. Along the way we prove some foundational results regarding the relevant objects from bordered Heegaard Floer homology,

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Kyler Siegel. 2011-08-18. A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action. https://arxiv.org/abs/1108.3676

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