English

Logarithmic Trace of Toeplitz Projectors

Complex Variables 2007-05-23 v1 Differential Geometry

Abstract

We prove that the trace of the logarithmic term of the Toeplitz kernel on a contact manifold is a contact invariant, generalizing K. Hirachi's invariant for the Szego kernel on a CR manifold. When the base manifold is the three-sphere, this vanishes identically.

Keywords

Cite

@article{arxiv.math/0412252,
  title  = {Logarithmic Trace of Toeplitz Projectors},
  author = {Louis Boutet de Monvel},
  journal= {arXiv preprint arXiv:math/0412252},
  year   = {2007}
}

Comments

10 pages