Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary
Mathematical Physics
2015-05-29 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1303.3713,
title = {Dirac Operators with Torsion and the Noncommutative Residue for Manifolds with Boundary},
author = {Jian Wang and Yong Wang and ChunLing Yang},
journal= {arXiv preprint arXiv:1303.3713},
year = {2015}
}