group cohomology, nonabelian group cohomology, Lie group cohomology
Hochschild cohomology, cyclic cohomology?
cohomology with constant coefficients / with a local system of coefficients
differential cohomology
functorial quantum field theory
Reshetikhin?Turaev model? / Chern-Simons theory
FQFT and cohomology
Gromov-Witten theory may be understood as providing a product on formal power series over certain abelian sheaf cohomology groups of Kähler manifolds $X$. The quantum cohomology of $X$ is the resulting Frobenius algebra structure on these formal power series.
Together with Gromov-Witten theory quantum sheaf cohomlogy was discovered in and has its geometric roots as part of the data that describes certain 2-dimensional sigma-model quantum field theories with target space $X$.
An introduction for readers familiar with basic concepts of Gromov-Witten theory is in
Slides of a talk for an audience of mathematical string theorists are
Last revised on January 5, 2014 at 15:14:42. See the history of this page for a list of all contributions to it.