On the Obstructions to non-Cliffordian Pin Structures
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
We derive the topological obstructions to the existence of non-Cliffordian pin structures on four-dimensional spacetimes. We apply these obstructions to the study of non-Cliffordian pin-Lorentz cobordism. We note that our method of derivation applies equally well in any dimension and in any signature, and we present a general format for calculating obstructions in these situations. Finally, we interpret the breakdown of pin structure and discuss the relevance of this to aspects of physics.
Cite
@article{arxiv.gr-qc/9509039,
title = {On the Obstructions to non-Cliffordian Pin Structures},
author = {Andrew Chamblin},
journal= {arXiv preprint arXiv:gr-qc/9509039},
year = {2015}
}
Comments
31 pages, latex, published in Comm. Math. Phys. 164, No. 1, pages 65-87 (1994)