Symplectic Floer homology and the mapping class group

2000/10/30 by Paul Seidel, Seidel, Paul
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #Topological and Geometric Data Analysis #math.GT #math.SG

paper · pdf · doi:10.48550/arxiv.math/0010301

11 pages, Latex

openalex publication_date 2000/10/30 · arxiv created 2001/03/04 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider symplectic Floer homology in the lowest nontrivial dimension, that is to say, for area-preserving diffeomorphisms of surfaces. Particular attention is paid to the quantum cap product; we show that it distinguishes the trivial element of the mapping class group from any nontrivial one.

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