Floer homology of Lagrangian submanifolds

Abstract

This is a translation of an article appeared in Japanese in Suugaku 63 (2011), no. 1, 43-66 (MR2790665) and is a survey of Lagrangian Floer homology which the author studies jointly with Y.-G.Oh, H. Ohta, and K. Ono. It also contains some explanation on its relation to (homological) mirror symmetry.

29 pages

References in corpus (3)

• Fukaya categories and deformations
• Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle
• Kuranishi homology and Kuranishi cohomology

Cited by in corpus (1)

• Kuranishi structure, Pseudo-holomorphic curve, and Virtual fundamental chain: Part 1