Joshua Sabloff: Lagrangian Cobordisms between Legendrian Submanifolds

I will discuss obstructions to and constructions of Lagrangian cobordisms between Legendrian submanifolds. The obstructions arise from a long exact sequence relating invariants derived from generating families. This long exact sequence not only provides obstructions, but also illuminates the geometric meaning of generating family invariants. The most interesting of the constructions takes the form of ambient Lagrangian handle attachment to a Legendrian submanifold. Its relation to the long exact sequence of a cobordism allows us to tackle questions involving the geography and botany of Legendrian submanifolds in higher dimensions. All of this is joint with Lisa Traynor, and the constructions material is also joint with Frederic Bourgeois.

Joshua Sabloff
Haverford College
http://www.haverford.edu/math/jsabloff/Josh_Sabloff/

Видео Joshua Sabloff: Lagrangian Cobordisms between Legendrian Submanifolds канала E. Santiago Beck