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arXiv · 1106.1967

Integration on Non-Compact Supermanifolds

Alexander Alldridge·Joachim Hilgert·Wolfgang Palzer
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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.

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Alexander Alldridge, Joachim Hilgert, Wolfgang Palzer. 2011-06-10. Integration on Non-Compact Supermanifolds. https://doi.org/10.1016/j.geomphys.2011.11.005

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