par Golovko, Roman
Référence Pacific journal of mathematics, 261, 1, page (101-116)
Publication Publié, 2013
Article révisé par les pairs
Résumé : We study the relation of an embedded Lagrangian cobordism between two closed, orientable Legendrian submanifolds of ℝ2n+1. More precisely, we investigate the behavior of the Thurston-Bennequin number and (linearized) Legendrian contact homology under this relation. The result about the Thurston-Bennequin number can be considered as a generalization of the result of Chantraine which holds when n = 1. In addition, we provide a few constructions of Lagrangian cobordisms and prove that there are infinitely many pairs of exact Lagrangian cobordant and not pairwise Legendrian isotopic Legendrian n-tori in ℝ2n+1. © 2013 Mathematical Sciences Publishers.