English

Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary

Mathematical Physics 2014-04-10 v1 Differential Geometry math.MP

Abstract

In this paper, we give two Lichnerowicz type formulas for Dirac operators and signature operators twisted by a vector bundle with a non-unitary connection. We also prove two Kastler-Kalau-Walze type theorems for twisted Dirac operators and twisted signature operators on 4-dimensional manifolds with (resp. without) boundary.

Keywords

Cite

@article{arxiv.1404.2339,
  title  = {Twisted Dirac Operators and the Noncommutative Residue for Manifolds with Boundary},
  author = {Jian Wang and Yong Wang},
  journal= {arXiv preprint arXiv:1404.2339},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1303.3713