Open Access
January, 2004 Signature Quantization
Victor Guillemin, Shlomo Sternberg, Jonathan Weitsman
J. Differential Geom. 66(1): 139-168 (January, 2004). DOI: 10.4310/jdg/1090415031


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.


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Victor Guillemin. Shlomo Sternberg. Jonathan Weitsman. "Signature Quantization." J. Differential Geom. 66 (1) 139 - 168, January, 2004.


Published: January, 2004
First available in Project Euclid: 21 July 2004

zbMATH: 1063.53095
MathSciNet: MR2017753
Digital Object Identifier: 10.4310/jdg/1090415031

Rights: Copyright © 2004 Lehigh University

Vol.66 • No. 1 • January, 2004
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