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.
Exposition of the standard lore includes
Andreas Wipf, Chapter 10: Berezin integral (pdf)
A general abstract discussion in terms of D-module theory is in
Last revised on March 24, 2019 at 06:53:42. See the history of this page for a list of all contributions to it.