Geometry/topology Seminar
Wednesday, April 6, 2016, 3:00pm, 299 Physics
Baptiste Chantraine (Université de Nantes)
Positive Legendrian isotopies and Floer theory
Abstract:- In a cooriented contact manifold, a positive Legendrian
isotopy is a Legendrian isotopy evolving in the positive transverse
direction to the contact plane. Their global behavior differs from the
one of Legendrian isotopy and is closer to the one of propagating waves.
After having introduce the basic definitions and main examples, I will
explain how to use information in the Floer complex associated to a pair
of Lagrangian cobordisms (recently constructed in a collaboration with
G. Dimitroglou Rizell, P. Ghiggini and R. Golovko) to give obstructions
to certain positive loops of some Legendrian submanifolds. This will
recover previously known obstructions and exhibit more examples. This is
work in progress with V. Colin and G. Dimitroglou Rizell.
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