Some questions about the index of quantized contact transformations
Differential Geometry
2007-05-23 v1 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.math/9808027,
title = {Some questions about the index of quantized contact transformations},
author = {Alan Weinstein},
journal= {arXiv preprint arXiv:math/9808027},
year = {2007}
}
Comments
This is an expanded version of a lecture given at the Symposium on Geometric Methods in Asymptotic Analysis, RIMS, Kyoto, May 20, 1997