On the Fukaya Categories of Higher Genus Surfaces

2006/06/23 by Mohammed Abouzaid, Abouzaid, Mohammed · 1 citation
Mathematics · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.math/0606598

Abstract

We construct the Fukaya category of a closed surface equipped with an area form using only elementary (essentially combinatorial) methods. We also compute the Grothendieck group of its derived category.

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