Invariance of Floer Cohomology Under Higher Mutation

Explore a 59-minute lecture from the Western Hemisphere Virtual Symplectic Seminar featuring Soham Chanda from Rutgers University. Delve into the topic of "Invariance of Floer cohomology under higher mutation" as Chanda discusses Pascaleff-Tonkonog's definition of higher mutations for monotone toric fibers and their proof of disc potential invariance under local system changes. Learn about the local version of higher mutations for locally mutable Lagrangians and discover how neck-stretching techniques are used to demonstrate the invariance of Lagrangian intersection cohomology. Gain insights into the mutation formula proposed by Pascaleff-Tonkonog and its agreement with local system changes. The lecture concludes with a Q&A session addressing the tracking of areas during Lagrangian mutation, changes in superpotential, and holonomy considerations in the monotone case.

Catherine Cannizzo: For the Q&A: can you say a bit more about how you keep track of areas when you mutate the Lagr and how the superpotential changes, the holonomy? I think in the monotone case you still have to keep track of areas?