Four-Manifold Invariants and Donaldson-Witten Theory
Jan Manschot
TL;DR
This paper reviews four-manifold invariants and their connections to Donaldson-Witten theory and related topological quantum field theories, emphasizing developments since 2006.
Contribution
It provides a comprehensive survey of the progress in understanding four-manifold invariants within the framework of topologically twisted Yang-Mills theories since 2006.
Findings
Summarizes key invariants of four-manifolds
Explores the relation between invariants and Donaldson-Witten theory
Highlights recent advances in the field
Abstract
This article surveys invariants of four-manifolds and their relation to Donaldson-Witten theory, and other topologically twisted Yang-Mills theories. The article is written for the second edition of the Encyclopedia of Mathematical Physics, and focuses on the period since the first edition in 2006.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research