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math.SG2011★ 20 cited
Quasi-morphisms and symplectic quasi-states for convex symplectic manifolds
Sergei Lanzat
We use quantum and Floer homology to construct (partial) quasi-morphisms on the universal cover of the group of compactly supported Hamiltonian diffeomorphisms for a certain class…
math.GT2011★ 3 cited
Integrating curvature: from Umlaufsatz to J^+ invariant
Sergei Lanzat, Michael Polyak
Hopf's Umlaufsatz relates the total curvature of a closed immersed plane curve to its rotation number. While the curvature of a curve changes under local deformations, its integral…