A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action
Geometric Topology
2011-08-19 v1 Symplectic Geometry
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,
Keywords
Cite
@article{arxiv.1108.3676,
title = {A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action},
author = {Kyler Siegel},
journal= {arXiv preprint arXiv:1108.3676},
year = {2011}
}
Comments
33 pages, 8 figures