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2009 The index of a vector field on an orbifold with boundary
Elliot Paquette, Christopher Seaton
Involve 2(2): 161-175 (2009). DOI: 10.2140/involve.2009.2.161

Abstract

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 boundary orbifold to the Euler–Satake characteristic of the orbifold and a boundary term. The boundary term is expressed as a sum of Euler characteristics of tangency and exit-region orbifolds. As a corollary, we express the index sum of the vector field induced on the inertia orbifold to the Euler characteristics of the associated underlying topological spaces.

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Elliot Paquette. Christopher Seaton. "The index of a vector field on an orbifold with boundary." Involve 2 (2) 161 - 175, 2009. https://doi.org/10.2140/involve.2009.2.161

Information

Received: 11 June 2008; Accepted: 19 February 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1175.57022
MathSciNet: MR2501335
Digital Object Identifier: 10.2140/involve.2009.2.161

Subjects:
Primary: 55R91, 57R12, 57R25

Rights: Copyright © 2009 Mathematical Sciences Publishers

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