Mathematical structures of cohomological field theories

DOI10.1016/J.GEOMPHYS.2022.104744OpenAlexW4313594005MaRDI QIDQ2684766

Shuhan Jiang

Publication date: 17 February 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12425

zbMATH Keywords

equivariant cohomologysupergeometryChern-Weil theorytopological quantum field theoryMathai-Quillen formalismjet bundle theory

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Algebraic topology (55-XX) Relativity and gravitational theory (83-XX)

Cites Work

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• The Mathai-Quillen formalism and topological field theory
• Twisted superspace
• Electric-magnetic duality and the geometric Langlands program
• Superconnections, Thom classes, and equivariant differential forms
• Topological quantum field theory
• Two-dimensional abelian \(B F\) theory in Lorenz gauge as a twisted \(\mathcal{N} = (2, 2)\) superconformal field theory
• BRST model for equivariant cohomology and representatives for the equivariant Thom class
• The topological sigma model
• Monoidally graded manifolds
• Topological quantum field theory and four manifolds.
• Topological Lagrangians and cohomology
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Division Algebras and Supersymmetry I
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• INTRODUCTION TO COHOMOLOGICAL FIELD THEORIES
• Algebraic characterization of vector supersymmetry in topological field theories
• Lie algebroids and homological vector fields
• Algebraic Renormalization
• Topological Yang-Mills symmetry

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