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A Geometric Proof of a Faithful Linear-Categorical Surface Mapping Class Group Action
Published 18 Aug 2011 in math.GT and math.SG | (1108.3676v1)
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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