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On the obstructions to non-Cliffordian pin structures

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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.m

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Authors and Affiliations

  1. Department of Applied Maths and Theoretical Physics, University of Cambridge, CB3 9EW, Cambridge, England

    Andrew Chamblin

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  1. Andrew Chamblin
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Communicated by N. Yu. Reshetikhin

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Chamblin, A. On the obstructions to non-Cliffordian pin structures. Commun.Math. Phys. 164, 65–85 (1994). https://doi.org/10.1007/BF02108806

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  • DOI: https://doi.org/10.1007/BF02108806

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