Homological algebra and moduli spaces in topological field theories
Kenji Fukaya
TL;DR
This paper surveys various Floer theories in symplectic geometry and gauge theory, exploring their interrelations within the context of topological field theories.
Contribution
It provides a comprehensive overview of Floer theories and their connections, highlighting recent developments in the field.
Findings
Different Floer theories are interconnected through various relations.
The survey clarifies the role of homological algebra in topological field theories.
It identifies open problems and future directions in the study of Floer theories.
Abstract
This is a survey of various types of Floer theories (both in symplectic geometry and gauge theory) and relations among them.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic Geometry and Number Theory