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Lagrangian Floer Theory and Its Deformations An Introduction to Filtered Fukaya Category /

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...

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Bibliographic Details
Main Author: Oh, Yong-Geun (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Edition:1st ed. 2024.
Series:KIAS Springer Series in Mathematics, 2
Subjects:
Geometry, Differential.
Algebraic topology.
Topology.
Differential Geometry.
Algebraic Topology.
Online Access:https://doi.org/10.1007/978-981-97-1798-9
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Table of Contents:
  • Based Loop Space and A∞ Space
  • A∞ Algebras and Modules: Unfiltered Case
  • Obstruction-Deformation Theory of Filtered A∞ Bimodules
  • Symplectic Geometry and Hamiltonian Dynamics
  • Analysis of Pseudoholomorphic Curves and Bordered Stable Maps
  • Critical Points of Potential Functions and Floer Cohomology
  • Filtered Fukaya Category and its Bulk Deformations.

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