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arXiv · 1303.3713

Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary

Jian Wang·Yong Wang·ChunLing Yang
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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.

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Jian Wang, Yong Wang, ChunLing Yang. 2013-03-15. Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary. https://doi.org/10.1016/j.geomphys.2014.03.007

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