Abstract
Let be an oriented compact –manifold and let be a (loose) triangulation of with ideal vertices at the components of and possibly internal vertices. We show that any spin structure on can be encoded by extra combinatorial structures on . We then analyze how to change these extra structures on , and itself, without changing , thereby getting a combinatorial realization, in the usual “objects/moves” sense, of the set of all pairs . Our moves have a local nature, except one, that has a global flavour but is explicitly described anyway. We also provide an alternative approach where the global move is replaced by simultaneous local ones.
Citation
Riccardo Benedetti. Petronio Carlo. "Spin structures on $3$–manifolds via arbitrary triangulations." Algebr. Geom. Topol. 14 (2) 1005 - 1054, 2014. https://doi.org/10.2140/agt.2014.14.1005
Information