Topology Atlas | Conferences

Knots in Washington XXXVII
January 19-20, 2014
George Washington University
Washington, DC, USA

Mieczyslaw K. Dabkowski (UT Dallas), Valentina Harizanov (GWU), Jozef H. Przytycki (GWU and UMCP), Yongwu Rong (GWU), Radmila Sazdanovic (NCSU), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Lagrangian cobordisms and pseudoisotopy
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.