Geodesic
Combinatorial spin structures on triangulated manifolds
Budney, Ryan1
1 Mathematics and Statistics, University of Victoria, Victoria BC, Canada
Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1259-1279

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We give a combinatorial description of spin and spinc–structures on triangulated manifolds of arbitrary dimension. These encodings of spin and spinc–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.

DOI : 10.2140/agt.2018.18.1259
Classification : 57R15, 55S35, 57R05
Keywords: spin structures, triangulated manifolds, combinatorial spin structure

Budney, Ryan 1

1 Mathematics and Statistics, University of Victoria, Victoria BC, Canada 
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Budney, Ryan. Combinatorial spin structures on triangulated manifolds. Algebraic and Geometric Topology, Tome 18 (2018) no. 3, pp. 1259-1279. doi: 10.2140/agt.2018.18.1259

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