15 citations · 183 across the 38 of their papers we have counts for
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math.DG2008★ 10 cited
Nonvanishing vector fields on orbifolds
Carla Farsi, Christopher Seaton
We introduce a complete obstruction to the existence of nonvanishing vector fields on a closed orbifold . Motivated by the inertia orbifold, the space of multi-sectors, and the…
math.DG2008★ 1 cited
The index of a vector field on an orbifold with boundary
Elliot Paquette, Christopher Seaton
A Poincaré-Hopf theorem in the spirit of Pugh is proven for compact orbifolds with boundary. The theorem relates the index sum of a smooth vector field in generic contact with the…