SpinC quantization in odd dimensions

Details SpinC quantization in odd dimensions SpinC quantization in odd dimensions

2011-10-23

arxiv.org/abs/1110.5025v1

Mathematics

Differential Geometry

9 pages

Scientific paper

We define and discuss an extension of the SpinC quantization concept to
odd-dimensional manifolds. After that we describe its relation to (the usual)
even-dimensional SpinC quantization and how its famous properties like
"Quantization commutes with reduction" can be regained in odd dimensions. At
the end, we analyze the situation on 3-manifolds and give some examples.

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