Monday, March 18, 2013

1303.3713 (Jian Wang et al.)

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

Jian Wang, Yong Wang, ChunLing Yang
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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