Linking numbers of measured foliations

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dc.creatorKotschick, D.
dc.creatorVogel, T.
dc.date2001-11-19
dc.date2002-04-11
dc.date.accessioned2026-07-07T04:44:40Z
dc.date.available2026-07-07T04:44:40Z
dc.descriptionWe generalise the average asymptotic linking number of a pair of divergence-free vector fields on homology three-spheres by considering the linking of a divergence-free vector field on a manifold of arbitrary dimension with a codimension two foliation endowed with an invariant transverse measure. We prove that the average asymptotic linking number is given by an integral of Hopf type. Considering appropriate vector fields and measured foliations, we obtain an ergodic interpretation of the Godbillon-Vey invariant of a family of codimension one foliations discussed in math.GT/0111137.
dc.descriptionminor corrections, to appear in Ergodic Theory and Dynamical Systems
dc.identifierhttps://arxiv.org/abs/math/0111209
dc.identifierhttp://arxiv.org/abs/math/0111209
dc.identifierErgodic Theory Dynam. Systems 23 (2003), 541--558.
dc.identifierdoi:10.1017/S0143385702001219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62684
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject57R30, 37C10, 37C40, 37C85
dc.titleLinking numbers of measured foliations
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