Milnor open books and Milnor fillable contact 3-manifolds

Simple item page
dc.creatorCaubel, C.
dc.creatorNemethi, A.
dc.creatorPopescu-Pampu, P.
dc.date2004-09-09
dc.date2005-01-11
dc.date.accessioned2026-07-07T06:32:57Z
dc.date.available2026-07-07T06:32:57Z
dc.descriptionWe say that a contact manifold is Milnor fillable if it is contactomorphic to the contact boundary of an isolated complex-analytic singularity (X,x). Generalizing results of Milnor and Giroux, we associate to each holomorphic function f defined on X, with isolated singularity at x, an open book which supports the contact structure. Moreover, we prove that any 3-dimensional oriented manifold admits at most one Milnor fillable contact structure up to contactomorphism. * * * * * * * * In the first version of the paper, we showed that the open book associated to f carries the contact structure only up to an isotopy. Here we drop this restriction. Following a suggestion of Janos Kollar, we also give a simplified proof of the algebro-geometrical theorem 4.1, central for the uniqueness result.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0409160
dc.identifierhttp://arxiv.org/abs/math/0409160
dc.identifierTopology 45 (2006), 673-689
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99034
dc.subjectSymplectic Geometry
dc.subjectAlgebraic Geometry
dc.subject32S55; 53D10
dc.titleMilnor open books and Milnor fillable contact 3-manifolds
dc.typetext

Files

Collections

arXiv