Logarithmic Trace of Toeplitz Projectors

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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.
10 pages

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Complex Variables, Differential Geometry, 32A25; 58J40; 35S30

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http://salesiana.dossiersoluciones.com/handle/123456789/73569

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412252
 http://arxiv.org/abs/math/0412252

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arXiv