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Logarithmic Trace of Toeplitz Projectors

复变函数 2007-05-23 v1 微分几何

摘要

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.

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引用

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

备注

10 pages