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Geometry-Topology Seminar

Thursday, February 2, 2006 - 4:30pm

Stephane Sabourau

University of Pennsylvania

Location

University of Pennsylvania

DRL 4C8

The separating systole on a closed Riemannian surface is defined as the length of the shortest noncontractible loop which is homologically trivial. We answer positively a question of M. Gromov about the asymptotic estimate on the separating systole. Specifically, we show that that the separating systole of a closed Riemannian surface of genus and area g satisfies an upper bound similar to M. Gromov's asymptotic estimate on the homotopy systole.