Geometric monodromy and the hyperbolic disc

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dc.creatorSmith, Ivan
dc.date2000-11-27
dc.date.accessioned2026-07-07T04:38:51Z
dc.date.available2026-07-07T04:38:51Z
dc.descriptionSymplectic four-manifolds give rise to Lefschetz fibrations, which are determined by monodromy representations of free groups in mapping class groups. We study the topology of Lefschetz fibrations by analysing the action of the monodromy on the universal cover of a smooth fibre. We give new and simple proofs that Lefschetz fibrations arising from pencils (i.e. with exceptional sections) never split as non-trivial fibre sums, and that no simple closed curve can be invariant to isotopy under the monodromy representation.
dc.description13 pages. [To appear in Quarterly J. Math. (Oxford)]
dc.identifierhttps://arxiv.org/abs/math/0011223
dc.identifierhttp://arxiv.org/abs/math/0011223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60442
dc.subjectSymplectic Geometry
dc.subject53C15
dc.titleGeometric monodromy and the hyperbolic disc
dc.typetext

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