Legendrian Fronts in Contact Topology

Legendrian Fronts in Contact Topology

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Roger Casals, MIT
IAS Room S-101

In this talk we focus on Legendrian presentations of Weinstein manifolds; in particular, we discuss loose Legendrian embeddings and their absolute analogues, flexible Weinstein manifolds and overtwisted contact structures. The required definitions and necessary results will be provided. In the first part, we present a dictionary between Legendrian fronts and adapted open books decompositions. In the second part, we explore applications to Weinstein cobordisms and biLefschetz fibrations with Am–Milnor fibres. This is joint work with E. Murphy.