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On the Fukaya Categories of Higher Genus Surfaces

Mohammed Abouzaid
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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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Mohammed Abouzaid. 2007-08-30. On the Fukaya Categories of Higher Genus Surfaces. https://arxiv.org/abs/math/0606598

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