Combinatorial spin structures on triangulated manifolds

Understand

This paper gives a combinatorial description of spin and spin^c-structures on triangulated PL-manifolds of arbitrary dimension.

• These formulations of spin and spin^c-structures are established primarily for the purpose of aiding in computations.
• The novelty of the approach is we rely heavily on the naturality of binary symmetric groups to avoid lengthy explicit constructions of smoothings of PL-manifolds.