Integration on Non-Compact Supermanifolds

Details Integration on Non-Compact Supermanifolds Integration on Non-Compact Supermanifolds

2011-06-10

arxiv.org/abs/1106.1967v1

Mathematics

Differential Geometry

30 pages, 2 figures

Scientific paper

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.

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