Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

This talk is based on a joint work with Thomas Kragh. Using the generating function theory we split inject homotopy groups of pseudo-isotopy and/or h-cobordism spaces into various spaces of Legendrian manifolds, e.g. the space of Legendrian unknots in $\mathbb R^{2n+1}$ for a sufficiently large n. For instance, there is a non-trivial element in $\pi_2$ of the space of Legendrian unknots in $\mathbb R^{2n+1}$ for $n \geq 12$.