Volume 16, issue 6 (2016)

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ISSN (electronic): 1472-2739
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Legendrian submanifolds with Hamiltonian isotopic symplectizations

Sylvain Courte

Algebraic & Geometric Topology 16 (2016) 3641–3652
Abstract

In any closed contact manifold of dimension at least 11, we construct examples of closed Legendrian submanifolds which are not diffeomorphic but whose Lagrangian cylinders in the symplectization are Hamiltonian isotopic.

Keywords
symplectization, h-cobordism, Weinstein structure, h-principle
Mathematical Subject Classification 2010
Primary: 53D10
References
Publication
Received: 22 January 2016
Revised: 17 March 2016
Accepted: 16 May 2016
Published: 15 December 2016
Authors
Sylvain Courte
Department of Mathematics
Uppsala University
Box 480
751 06 Uppsala
Sweden