GT Seminar with Lukas Nakamura (Uppsala university)

Abstract:  We define a pseudo-metric on the contactomorphism group of a cooriented contact manifold M which is bounded from above by the Shelukhin-Hofer metric and non-degenerate if, in addition, M is orderable. If M is closed, we show that its metric topology agrees with the interval topology of Chernov and Nemirovsky, thereby positively answering their question of whether the interval topology of an orderable contact manifold is Hausdorff. We discuss similar results on the universal cover of the contactomorphism group and on spaces of Legendrians. If time permits, we explain connections to Hedicke's recently defined Lorentzian distance function.

See upcoming seminars in our seminar series on Geometry and Topology (GT).