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Lagrangian cobordisms and pseudoisotopy
by
Lara Simone Suárez
Université de Montréal
Lagrangian submanifolds are central objects in the study of symplectic
manifolds. Given two Lagrangian submanifolds L0, L1 in the
symplectic manifold (M, ω), a Lagrangian cobordism between
them is a cobordism
(W; L0, L1), that can be embedded as a
Lagrangian submanifold in (([0, 1]×R) ×M, dx∧dy ⊕ω), with the property that near the boundary it looks like the products [0, ε)×{1} ×L0 and (1-ε, 1] ×{1} ×L1 for some ε > 0. In recent work Biran and Cornea proposed the following conjecture: Exact Lagrangian cobordism implies pseudoisotopy. In this talk we give partial results towards this conjecture.
Date received: December 16, 2013
Copyright © 2013 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbid-13.