Algebraic & Geometric Topology

Legendrian submanifolds with Hamiltonian isotopic symplectizations

Sylvain Courte

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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.

Article information

Algebr. Geom. Topol., Volume 16, Number 6 (2016), 3641-3652.

Received: 22 January 2016
Revised: 17 March 2016
Accepted: 16 May 2016
First available in Project Euclid: 16 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 53D10: Contact manifolds, general

symplectization h-cobordism Weinstein structure h-principle


Courte, Sylvain. Legendrian submanifolds with Hamiltonian isotopic symplectizations. Algebr. Geom. Topol. 16 (2016), no. 6, 3641--3652. doi:10.2140/agt.2016.16.3641.

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