Berezin integral

**superalgebra** and (synthetic ) **supergeometry**

Riemann integration, Lebesgue integration

line integral/contour integration

integration of differential forms

integration over supermanifolds, Berezin integral, fermionic path integral

Kontsevich integral, Selberg integral, elliptic Selberg integral

integration in ordinary differential cohomology

integration in differential K-theory

A *Berezinian integral* is an integral over a supermanifold that is a superpoint $\mathbb{R}^{0|q}$.

For the infinite-dimensional version see fermionic path integral.

The concept is originally due to Felix Berezin.

An exposition of the standard lore is here:

A general abstract discussion in terms of D-module theory is in

- Frédéric Paugam,
*Homotopical Poisson Reduction of gauge theories*(pdf)

Last revised on September 3, 2014 at 04:03:02. See the history of this page for a list of all contributions to it.