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23 April 2024

» arxiv » 1303.3713

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Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary
Jian Wang ; Yong Wang ; ChunLing Yang ;
Date:	15 Mar 2013
Abstract:	In this paper, we get the Kastler-Kalau-Walze theorem associated to Dirac operators with torsion on compact manifolds with boundary. We give two kinds of operator-theoretic explanations of the gravitational action in the case of 4-dimensional compact manifolds with flat boundary. Furthermore, we get the Kastler-Kalau-Walze type theorem for four dimensional complex manifolds associated with nonminimal operators.
Source:	arXiv, 1303.3713
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