Date
Tue, 03 Mar 2015
Time
15:45 - 16:45
Location
L4
Speaker
Dmitry Tonkonog
Organisation
Cambridge

Given a Lagrangian submanifold invariant under a Hamiltonian loop, we partially compute the image of the loop's Seidel element under the closed-open string map into the Hochschild cohomology of the Lagrangian. This piece captures the homology class of the loop's orbits on the Lagrangian and can help to prove that the closed-open map is injective in some examples. As a corollary we prove that $\mathbb{RP}^n$ split-generates the Fukaya category of $\mathbb{CP}^n$ over a field of characteristic 2, and the same for real loci of some other toric  varieties.

Please contact us with feedback and comments about this page. Last updated on 03 Apr 2022 01:32.