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Contact cuts

2000/02/05 by Eugene Lerman, Lerman, Eugene · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.DG #math.SG

paper · pdf · doi:10.48550/arxiv.math/0002041

(v2) Following referee's suggestions the paper is expanded. The local cut construction is made more precise. A theorem concerning the group of contactomorphisms of certain overtwisted lens spaces is added

arxiv created 2000/06/09 · arxiv updated 2009/11/30

Abstract

We describe a contact analog of the symplectic cut construction. As an application we show that the group of contactomorphisms for a particular overtwisted contact structure on the three sphere contains countably many nonconjugate two tori.

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