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University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Dehn twists and free subgroups of the symplectic mapping class group

## Dehn twists and free subgroups of the symplectic mapping class groupAdd to your list(s) Download to your calendar using vCal - Ailsa Keating, MIT
- Wednesday 16 January 2013, 16:00-17:00
- MR13.
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. ## This talk is included in these lists:- All CMS events
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