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

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

2011-08-18

arxiv.org/abs/1108.3676v1

Mathematics

Geometric Topology

33 pages, 8 figures

Scientific paper

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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