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arXiv · 1110.5025

SpinC quantization in odd dimensions

Johannes Fabian Meier
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Abstract

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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Johannes Fabian Meier. 2011-10-23. SpinC quantization in odd dimensions. https://arxiv.org/abs/1110.5025

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