Lagrangian Clean Surgery and Projective Dehn Twists

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• Weiwei Wu, University of Georgia
• Wednesday 24 April 2019, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

Lagrangian surgeries were first discovered by Leonid Polterovich when two Lagrangian submanifolds intersect at a point transversally. Fukaya, Oh, Ohta and Ono observed a cone relation between the two Lagrangians and the surgered Lagrangian, and this cone relation has been fundamental in the understanding of Fukaya categories. I will explain a generalization of Polterovich’s construction to the case when the two Lagrangians intersect cleanly, and give a cone relation for the surgered Lagrangian. This surgery formula helps us compute the connecting maps in the cone relation recently proved by Cheuk-Yu Mak and myself, and thus completes the proof of the Huybrechts-Thomas conjecture on projective twists in Fukaya categories.

This talk is part of the Differential Geometry and Topology Seminar series.

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