English

SpinC quantization in odd dimensions

Differential Geometry 2011-10-25 v1

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.

Keywords

Cite

@article{arxiv.1110.5025,
  title  = {SpinC quantization in odd dimensions},
  author = {Johannes Fabian Meier},
  journal= {arXiv preprint arXiv:1110.5025},
  year   = {2011}
}

Comments

9 pages

R2 v1 2026-06-21T19:24:18.096Z