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Dehn twists and free subgroups of the symplectic mapping class group
If you have a question about this talk, please contact Ivan Smith.
Given two Lagrangian spheres in an exact symplectic manifold, we present conditions under which the Dehn twists about them generate a free non-abelian subgroup of the symplectic mapping class group. This extends a result of Ishida for Riemann surfaces. The proof generalises the categorical version of Seidel’s long exact sequence to arbitrary powers of a fixed Dehn twist. Time allowing, we construct families of examples containing such spheres.
This talk is part of the Differential Geometry and Topology Seminar series.
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