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Geometry, Symmetry and Physics Seminar

Half-day immersion in Floer theory: Invariance of immersed Floer homology under Lagrangian surgery

Chris Woodward, Rutgers University

Date & time: Thursday, 20 December 2018 at 1:30PM - 2:30PM

We study how immersed Floer cohomology behaves under combined KRF/mean curvature flow. One of the bad things that can happen is that the bounding cochain can hit a "wall" where the q-valuation of one of the coefficients becomes zero. We show that (under some assumptions) one can continue past the wall by using a Polterovich surgery, so that the Floer cohomology is isomorphic. Some previous cases of this were known by work of Pascaleff--Tonkonog, Dimitroglou-Rizell--Ekholm--Tonkonog, and Hong-Kim-Lau.

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