Integration on Non-Compact Supermanifolds
arXiv:1106.1967 · doi:10.1016/j.geomphys.2011.11.005
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.
30 pages, 2 figures