Lefschetz fibrations with unbounded Euler class

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dc.creatorKuessner, Thilo
dc.date2001-09-03
dc.date2003-03-19
dc.date.accessioned2026-07-07T04:43:14Z
dc.date.available2026-07-07T04:43:14Z
dc.descriptionWe investigate the bounded cohomology of Lefschetz fibrations. If a Lefschetz fibration has regular fiber of genus at least 2 and it has at least two distinct vanishing cycles, we show that its Euler class is not bounded. As a consequence, we exclude the existence of negatively curved metrics on Lefschetz fibrations with more than one singular fiber.
dc.description8 pages, submitted to NYJM
dc.identifierhttps://arxiv.org/abs/math/0109011
dc.identifierhttp://arxiv.org/abs/math/0109011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62131
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subjectSymplectic Geometry
dc.subject57N65
dc.titleLefschetz fibrations with unbounded Euler class
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