1303.3713 (Jian Wang et al.)

Dirac Operators with Torsion and the Noncommutative Residue for
Manifolds with Boundary    [PDF]

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.

View original: http://arxiv.org/abs/1303.3713