Some questions about the index of quantized contact transformations

Alan Weinstein

REVIEW

Some questions about the index of quantized contact transformations

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv math/9808027 v1 pith:4H5P5WB4 submitted 1998-08-05 math.DG math.SG

Some questions about the index of quantized contact transformations

Alan Weinstein This is my paper

classification math.DG math.SG

keywords formulaindexcontactmanifoldsstructurestransformationsatiyah-singerconjectured

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original 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.

Some questions about the index of quantized contact transformations

discussion (0)