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
Courte, Sylvain  1
@article{10_2140_agt_2016_16_3641,
author = {Courte, Sylvain},
title = {Legendrian submanifolds with {Hamiltonian} isotopic symplectizations},
journal = {Algebraic and Geometric Topology},
pages = {3641--3652},
year = {2016},
volume = {16},
number = {6},
doi = {10.2140/agt.2016.16.3641},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2016.16.3641/}
}
TY - JOUR AU - Courte, Sylvain TI - Legendrian submanifolds with Hamiltonian isotopic symplectizations JO - Algebraic and Geometric Topology PY - 2016 SP - 3641 EP - 3652 VL - 16 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2016.16.3641/ DO - 10.2140/agt.2016.16.3641 ID - 10_2140_agt_2016_16_3641 ER -
Courte, Sylvain. Legendrian submanifolds with Hamiltonian isotopic symplectizations. Algebraic and Geometric Topology, Tome 16 (2016) no. 6, pp. 3641-3652. doi: 10.2140/agt.2016.16.3641
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