|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
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.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsForum for Youth Participation and Democracy Lucy Cavendish College public lecture series EMBL-EBI Science and Society Programme
Other talksDissecting computations in the dopamine reward circuit Axonal signalling endosomes: trafficking, sorting and disease Muslims under Nazi Rule, 1941-1945' Laws of Programming with Concurrency Networks, subnetworks and macroprudential capital requirements The labor market consequences of electricity adoption: concrete evidence from the Great Depression