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2014 | OriginalPaper | Buchkapitel

A Beginner’s Introduction to Fukaya Categories

verfasst von : Denis Auroux

Erschienen in: Contact and Symplectic Topology

Verlag: Springer International Publishing

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Abstract

The goal of these notes is to give a short introduction to Fukaya categories and some of their applications. The first half of the text is devoted to a brief review of Lagrangian Floer (co)homology and product structures. Then we introduce the Fukaya category (informally and without a lot of the necessary technical detail), and briefly discuss algebraic concepts such as exact triangles and generators. Finally, we mention wrapped Fukaya categories and outline a few applications to symplectic topology, mirror symmetry and low-dimensional topology.

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Vorheriges Kapitel Topological Methods in 3-Dimensional Contact Geometry

Nächstes Kapitel Geometric Decompositions of Almost Contact Manifolds

The cautious reader should be aware that, as of this writing, the analytic foundations of this approach are still the subject of some controversy.

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Titel: A Beginner’s Introduction to Fukaya Categories
verfasst von: Denis Auroux
Verlag: Springer International Publishing
Buch: Contact and Symplectic Topology
Print ISBN: 978-3-319-02035-8

Electronic ISBN: 978-3-319-02036-5

Copyright-Jahr: 2014
DOI: https://doi.org/10.1007/978-3-319-02036-5_3

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