Dehn Twists and Symplectomorphism Group of the Cotangent Bundle of Flag Varieties
Time: 2017-09-04
Published By: He Liu
Speaker(s): Xin Jin (Northwestern University)
Time: 10:30-11:30 September 7, 2017
Venue: Room 9, Quan Zhai, BICMR
I will start from the notion of Dehn twists in symplectic topology, and review some classical application of Floer theory in showing the nontriviality of iterated Dehn twists in the symplectic mapping class group. Then I will present some results on the relation between symplectomorphism group of the cotangent bundle of flag varieties and the braid group through (fiberwise) Dehn twists. One of the results is a homotopy equivalence between SU(3)-equivariant symplectomorphism group of T^*(SL_3(C)/B) and the braid group of three strands.
