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Milnor open books and Milnor fillable contact 3-manifolds by Clément Caubel; András Némethi; Patrick Popescu-Pampu is a Mathematics article available to read on EtoBox.

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We say that an oriented contact manifold (M, ) is Milnor fillable if it is contactomorphic to the contact boundary of an isolated complex-analytic singularity (X, x). In this article we prove that any three-dimensional oriented manifold admits at most one Milnor fillable contact structure up to contactomorphism. The proof is based on Milnor open books: we associate an open book decomposition of M with any holomorphic function f : (X, x) → (C, 0), with isolated singularity at x and we verify that all these open books carry the contact structure of (M, )-generalizing results of Milnor and Giroux.

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Author

Clément Caubel; András Némethi; Patrick Popescu-Pampu

Publisher

Elsevier Science; Elsevier ; Pergamon Press Ltd.; Elsevier BV (ISSN 0040-9383)

Published

2006

Language

EN

Field

Mathematics (Physical Sciences)