A Beginner’s Introduction to Fukaya Categories

  title={A Beginner’s Introduction to Fukaya Categories},
  author={Denis Auroux},
  journal={arXiv: Symplectic Geometry},
  • D. Auroux
  • Published 29 January 2013
  • Mathematics
  • arXiv: Symplectic Geometry
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… 
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