Four-Manifold Invariants and Donaldson-Witten Theory

2023/12/22 by Jan Manschot, Manschot, Jan
Mathematics · #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research

paper · pdf · doi:10.48550/arxiv.2312.14709

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.

Related

• Topological quantum field theory and four-manifolds
• New Results in Topological Field Theory and Abelian Gauge Theory
• Localisation of the Donaldson's invariants along Seiberg-Witten classes
• A gauge-field approach to 3- and 4-manifold invariants
• Donaldson invariants of non-simple type 4-manifolds