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Logarithmic Trace of Toeplitz Projectors

Louis Boutet de Monvel
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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.

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Louis Boutet de Monvel. 2004-12-13. Logarithmic Trace of Toeplitz Projectors. https://arxiv.org/abs/math/0412252

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