A Complete Obstruction to the Existence of Nonvanishing Vector Fields on Almost-Complex, Closed, Cyclic Orbifolds

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dc.creatorSeaton, Christopher
dc.date2004-08-14
dc.date2006-08-03
dc.date.accessioned2026-07-07T06:38:43Z
dc.date.available2026-07-07T06:38:43Z
dc.descriptionWe determine several necessary and sufficient conditions for a closed almost-complex orbifold $Q$ with cyclic local groups to admit a nonvanishing vector field. These conditions are stated separately in terms of the orbifold Euler-Satake characteristics of $Q$ and its sectors, the Euler characteristics of the underlying topological spaces of $Q$ and its sectors, and in terms of the orbifold Euler class $e_{orb}(Q)$ in Chen-Ruan orbifold cohomology $H_{orb}^\ast (Q; \R)$.
dc.description11 pages v3: added more exposition and additional proofs, added hypothesis of cyclic
dc.identifierhttps://arxiv.org/abs/math/0408187
dc.identifierhttp://arxiv.org/abs/math/0408187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100835
dc.subjectDifferential Geometry
dc.subject57R25
dc.titleA Complete Obstruction to the Existence of Nonvanishing Vector Fields on Almost-Complex, Closed, Cyclic Orbifolds
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