Logarithmic Trace of Toeplitz Projectors

Details Logarithmic Trace of Toeplitz Projectors Logarithmic Trace of Toeplitz Projectors

2004-12-13

arxiv.org/abs/math/0412252v1

Mathematics

Complex Variables

10 pages

Scientific paper

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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