Lagrangian Floer Theory and Its Deformations
Lagrangian Floer Theory and Its Deformations: An Introduction to Filtered Fukaya Category
English | 2024 | ISBN: 9819717973 | 433 Pages | PDF EPUB (True) | 36 MB
English | 2024 | ISBN: 9819717973 | 433 Pages | PDF EPUB (True) | 36 MB
A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization of H-spaces and loop spaces. At the beginning of the 1990s, a similar structure was introduced by Fukaya in his categorification of Floer homology in symplectic topology. This structure plays a fundamental role in the celebrated homological mirror symmetry proposal by Kontsevich and in more recent developments of symplectic topology.