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

2011/08/18 by Kyler Siegel, Siegel, Kyler
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1108.3676

openalex publication_date 2011/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Fukaya categories of symmetric products and bordered Heegaard-Floer homology
• On the Fukaya Categories of Higher Genus Surfaces

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