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Abstract
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We give a combinatorial description of spin and
–structures
on triangulated manifolds of arbitrary dimension. These encodings of spin and
–structures
are established primarily for the purpose of aiding in computations. The
novelty of the approach is that we rely heavily on the naturality of binary
symmetric groups to avoid lengthy explicit constructions of smoothings of PL
manifolds.
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Keywords
spin structures, triangulated manifolds, combinatorial spin
structure
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Mathematical Subject Classification 2010
Primary: 57R15
Secondary: 55S35, 57R05
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Publication
Received: 11 October 2014
Revised: 30 October 2017
Accepted: 21 November 2017
Published: 3 April 2018
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