Quasitoric Manifolds with Invariant Almost Complex Structure

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dc.creatorKustarev, Andrei
dc.date2009-02-02
dc.date2009-04-27
dc.date.accessioned2026-07-07T13:08:20Z
dc.date.available2026-07-07T13:08:20Z
dc.descriptionWe prove that any quasitoric manifold $M^{2n}$ admits a $T^n$-invariant almost complex structure if and only if $M$ admits a positive omniorientation. In particular, we show that all obstructions to existence of $T^n$-invariant almost complex structure on $M^{2n}$ arise from cohomology of underlying polytope - and hence are trivial.
dc.identifierhttps://arxiv.org/abs/0902.0250
dc.identifierhttp://arxiv.org/abs/0902.0250
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228384
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.titleQuasitoric Manifolds with Invariant Almost Complex Structure
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