IJPAM: Volume 74, No. 2 (2012)
SPIN
QUANTIZATION IN ODD DIMENSIONS

J. Fabian Meier
University of Bonn
Endenicher Allee, 60
53115, Bonn, GERMANY
University of Bonn
Endenicher Allee, 60
53115, Bonn, GERMANY
Abstract. We define and discuss an extension of the quantization concept to odd-dimensional manifolds. After that we describe its relation to (the usual) even-dimensional
quantization and how its famous properties like ``Quantization commutes with reduction'' can be regained in odd dimensions. At the end, we analyse the situation on 3-manifolds and give some examples.
Received: December 7, 2011
AMS Subject Classification: 53D50, 57S15
Key Words and Phrases: spinc quantization, Dirac operator, circle action
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 74
Issue: 2