Joint Los Angeles Topology Seminar

UCLA, MS 6627

We introduce a class of surgery operations on Lagrangian submanifolds which switch between two different fillings of Bohr-Sommerfeld Legendrians. We will discuss the effect of such a surgery operation on the disk potential in the setting of monotone Lagrangians. As an application we will prove that such surgery operations yield exotic monotone Lagrangian tori in projective spaces of dimension 3 and higher.