Hamiltonian classification and unlinkedness of fibres in cotangent bundles of Riemann surfaces
Hamiltonian classification and unlinkedness of fibres in cotangent bundles of Riemann surfaces
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Georgios Dimitroglou Rizell, Uppsala University
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In a joint work with Laurent C么t茅 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.