5 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Characteristic Classes of Bad Orbifold Vector Bundles
Christopher Seaton
We show that every bad orbifold vector bundle can be realized as the restriction of a good orbifold vector bundle to a suborbifold of the base space. We give an explicit constructi…
A Complete Obstruction to the Existence of Nonvanishing Vector Fields on Almost-Complex, Closed, Cyclic Orbifolds
Christopher Seaton
We determine several necessary and sufficient conditions for a closed almost-complex orbifold with cyclic local groups to admit a nonvanishing vector field. These conditions ar…
Two Gauss-Bonnet and Poincaré-Hopf Theorems for Orbifolds with Boundary
Christopher Seaton
The goal of this work is to generalize the Gauss-Bonnet and Poincaré-Hopf Theorems to the case of orbifolds with boundary. We present two such generalizations, the first in the spi…