On the Obstructions to non-Cliffordian Pin Structures

Details On the Obstructions to non-Cliffordian Pin Structures On the Obstructions to non-Cliffordian Pin Structures

1995-09-22

arxiv.org/abs/gr-qc/9509039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages, latex, published in Comm. Math. Phys. 164, No. 1, pages 65-87 (1994)

Scientific paper

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.

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