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Topology/Geometry Seminar

Invariance of Floer homology via holomorphic buildings

Soham Chanda (Rutgers)

Location:  Hill 705
Date & time: Tuesday, 19 April 2022 at 3:50PM - 4:50PM

Neck-stretching in symplectic topology was first introduced by Bourgeois et al. and became a widely used technique in the field. Charest-Woodward used neck-stretching techniques to study Floer theoretic invariants of a Lagrangian which doesn't intersect the neck. In this talk I will show how techniques in Charest-Woodward's can be generalized to a class of lagrangians which meets the neck. I will also introduce the notion of local mutation and apply the neck-stretching technique to prove an invariance result of Lagrangian Floer Homology under local mutations of Lagrangians.


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