A Beginner’s Introduction to Fukaya Categories

By D. Auroux. 2013

110 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e06c8786dd919c050c0ab142b61a08feaca7ec79

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In Geometry and Topology

1. E. Shelukhin
2. A. Kislev

In Mathematical Physics

1. E. Shelukhin
2. A. Kislev

Citations in the corpus

• Bounds on spectral norms and barcodes (2018, background): “3]) and then add n2 which is the Robbin–Salamon index of the canonical short path from (φF )∗TxL to φ1F (x) L (see [9] for the definition of the canonical short path).”