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.