Integration on Non-Compact Supermanifolds
Differential Geometry
2013-02-19 v1 Mathematical Physics
math.MP
Abstract
We investigate the Berezin integral of non-compactly supported quantities. In the framework of supermanifolds with corners, we give a general, explicit and coordinate-free repesentation of the boundary terms introduced by an arbitrary change of variables. As a corollary, a general Stokes's theorem is derived - here, the boundary integral contains transversal derivatives of arbitrarily high order.
Cite
@article{arxiv.1106.1967,
title = {Integration on Non-Compact Supermanifolds},
author = {Alexander Alldridge and Joachim Hilgert and Wolfgang Palzer},
journal= {arXiv preprint arXiv:1106.1967},
year = {2013}
}
Comments
30 pages, 2 figures