University of Cambridge > > Differential Geometry and Topology Seminar > Lagrangian Clean Surgery and Projective Dehn Twists

Lagrangian Clean Surgery and Projective Dehn Twists

Add to your list(s) Download to your calendar using vCal

  • UserWeiwei Wu, University of Georgia
  • ClockWednesday 24 April 2019, 16:00-17:00
  • HouseMR13.

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2019, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity