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Aperiodic symplectic flows on open manifolds strongly influence the underlying smooth structure. Equipped with natural boundary conditions such flows defined on knot exteriors lead to a characterization of the 3-sphere in terms of symplectic dynamics. In the first part of my talk I will explain how the diffeomorphism type is related to Eliashberg-Hofer’s filling by holomorphic discs argument. In the second I will indicate a construction of exotic symplectic flows whose defining odd-symplectic form (Hamiltonian structure) extends to a symplectic form on the 4-ball. Minimality properties for these flows are not known as well as properties of Fish-Hofer’s feral holomorphic curves.
Montag, den 9. Juli 2018 um 12:00-13:00 Uhr, in Mathematikon, INF 205, Konferenzraum, 5. Stock Montag, den 9. Juli 2018 at 12:00-13:00, in Mathematikon, INF 205, Konferenzraum, 5. Stock
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers