MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

Mathematical structures of cohomological field theories

Shuhan Jiang


A mathematical framework of cohomological field theories (CohFTs) is formulated in the language of bigraded manifolds. Algebraic properties of operators in CohFTs are studied. Methods of constructing CohFTs, with or without gauge symmetries, are discussed. In particular, a generalization of the Mathai-Quillen formalism is given. Examples such as topological quantum mechanics, topological sigma model, topological M-theory, and topological Yang-Mills theory can be obtained uniformly using this new formalism.

Mar 8, 2022
Mar 8, 2022
MSC Codes:
Supergeometry, Jet bundle theory, Topological quantum field theory

Related publications

2023 Repository Open Access
Shu-Han Jiang

Mathematical structures of cohomological field theories

In: Journal of geometry and physics, 185 (2023), p. 104744