Some questions about the index of quantized contact transformations

Details Some questions about the index of quantized contact transformations Some questions about the index of quantized contact transformations

1998-08-05

arxiv.org/abs/math/9808027v1

RIMS Kokyuroku, 1014, (1997), 1-14

Mathematics

Differential Geometry

This is an expanded version of a lecture given at the Symposium on Geometric Methods in Asymptotic Analysis, RIMS, Kyoto, May

Scientific paper

An index formula is proposed for contact transformations between contact
manifolds equipped with CR structures or with fillings by symplectic manifolds.
The formula generalizes the Atiyah-Singer formula and gives a conjectured
formula for the index of Fourier integral operators, as well as Epstein's
relative index for CR structures.

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