5 citations · 7 across the 4 of their papers we have counts for
4 papers
Quasi-Total Orders and Translation Numbers
Gabi Ben Simon, Tobias Hartnick
We show that a group admits a non-zero homogeneous quasimorphism if and only if it admits a certain type of action on a poset. Our proof is based on a construction of quasimorphism…
Homogeneous quasimorphisms on the symplectic linear group
Gabi Ben Simon, Dietmar A. Salamon
In this note, we show a uniqueness result of homogeneous quasimorphisms defined on the universal cover of the symplectic linear group.
The geometry of partial order on contact transformations of prequantization manifolds
Gabi Ben Simon
In this paper we find connection between the Hofer's metric of the group of Hamiltonian diffeomorphisms of a closed symplectic manifold, with an integral symplectic form, and the g…
The Nonlinear Maslov index and the Calabi homomorphism
Gabi Ben Simon
In this paper we find that the asymptotic nonlinear Maslov index defined on the universal cover of the group of all contact Hamiltonian diffeomorphisms of the standard 2n-1 dimensi…