Hierarchies of contact manifolds via rational SFT

Hierarchies of contact manifolds via rational SFT

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Zhengyi Zhou, Princeton University and Institute for Advanced Study

Zoom link:  :  https://umontreal.zoom.us/j/94366166514?pwd=OHBWcGluUmJwMFJyd2IwS1ROZ0FJdz09    

I will explain the construction of a functor from the exact symplectic cobordism category to a totally ordered set, which measures the complexity of the contact structure.  Those invariants are derived from a bi-Lie infinity formalism of the rational SFT and a partial construction of the rational SFT. In this talk, I will focus on the construction and properties of the functor. Time permitting, I will explain applications, computations, and relations to the involutive bi-Lie infinity formalism of the full SFT.

This is joint work with Agustin Moreno.