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Hamiltonian classification and unlinkedness of fibres in cotangent bundles of Riemann surfaces

PU/IAS Symplectic Geometry Seminar

Hamiltonian classification and unlinkedness of fibres in cotangent bundles of Riemann surfaces

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Georgios Dimitroglou Rizell, Uppsala University

Zoom link:  :  https://umontreal.zoom.us/j/94366166514?pwd=OHBWcGluUmJwMFJyd2IwS1ROZ0FJdz09    

Backup/Alternate:  https://theias.zoom.us/j/98165917888?pwd=bitwUVFVdjdVb1F3OTZTQTNqWHJjUT09

In a joint work with Laurent Côté we show the following result. Any Lagrangian plane in the cotangent bundle of an open Riemann surface which coincides with a cotangent fibre outside of some compact subset, is compactly supported Hamiltonian isotopic to that fibre. This result implies Hamiltonian unlinkedness for Lagrangian links in the cotangent bundle of a (possibly closed) Riemann surface whose components are Hamiltonian isotopic to fibres.