Multi angle Nearby Lagrangians are simply homotopic
Auteurs : Abouzaid, Mohammed (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : I will describe joint work with Thomas Kragh proving that closed exact Lagrangians in cotangent bundles are simply homotopy equivalent to the base. The main two ideas are (i) a Floer theoretic model for the Whitehead torsion of the projection from the Lagrangian to the base, and (ii) a large scale deformation of the Lagrangian which allows a computation of this torsion.Codes MSC :
53D40 - Floer homology and cohomology, symplectic aspects
55P35 - Loop spaces
55P42 - Stable homotopy theory, spectra