The index of a vector field on an orbifold with boundary

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dc.creatorPaquette, Elliot
dc.creatorSeaton, Christopher
dc.date2008-06-12
dc.date.accessioned2026-07-07T12:59:58Z
dc.date.available2026-07-07T12:59:58Z
dc.descriptionA 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.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0806.2113
dc.identifierhttp://arxiv.org/abs/0806.2113
dc.identifierInvolve, a Journal of Mathematics 2 (2009) 161--175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225735
dc.subjectDifferential Geometry
dc.subject57R25; 57R12; 55R91
dc.titleThe index of a vector field on an orbifold with boundary
dc.typetext

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