Journal of Differential Geometry

Signature Quantization

Victor Guillemin, Shlomo Sternberg, and Jonathan Weitsman

Full-text: Open access

Abstract

We associate to the action of a compact Lie group G on a line bundle over a compact oriented even-dimensional manifold a virtual representation of G using a twisted version of the signature operator. We obtain analogues of various theorems in the more standard theory of geometric quantization. Some of these results were announced in Guillemin, Sternberg and Weitsman, 2003.

Article information

Source
J. Differential Geom., Volume 66, Number 1 (2004), 139-168.

Dates
First available in Project Euclid: 21 July 2004

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1090415031

Digital Object Identifier
doi:10.4310/jdg/1090415031

Mathematical Reviews number (MathSciNet)
MR2017753

Zentralblatt MATH identifier
1063.53095

Citation

Guillemin, Victor; Sternberg, Shlomo; Weitsman, Jonathan. Signature Quantization. J. Differential Geom. 66 (2004), no. 1, 139--168. doi:10.4310/jdg/1090415031. https://projecteuclid.org/euclid.jdg/1090415031


Export citation