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On the Obstructions to non-Cliffordian Pin Structures

Andrew Chamblin
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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.

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Andrew Chamblin. 1995-09-22. On the Obstructions to non-Cliffordian Pin Structures. https://doi.org/10.1007/bf02108806

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