Displacement energy of Lagrangian 3-spheres

Knots, Strings, Symplectic Geometry and Dualities

05 November 14:00 - 15:00

Yuhan Sun - Stony Brook University

We study local and global Hamiltonian dynamical behaviors of some Lagrangian submanifolds near a Lagrangian sphere S in a symplectic manifold X. When dim S = 2, we show that there is a one-parameter family of Lagrangian tori near S, which are nondisplaceable in X. When dim S = 3, we obtain a new estimate of the displacement energy of S, by estimating the displacement energy of a one-parameter family of Lagrangian tori near S.

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Tobias Ekholm,
Uppsala University
Sergei Gukov
California Institute of Technology, Caltech
Vivek Shende
University of California, Berkeley


Tobias Ekholm


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