3 papers
math.SG2011
Partial quasi-morphisms and quasi-states on cotangent bundles, and symplectic homogenization
Alexandra Monzner, Nicolas Vichery, Frol Zapolsky
For a closed connected manifold N, we construct a family of functions on the Hamiltonian group G of the cotangent bundle T^*N, and a family of functions on the space of smooth func…
math.SG2011
Quasi-morphisms on cotangent bundles and symplectic homogenization
Alexandra Monzner, Nicolas Vichery, Frol Zapolsky
For a class of closed manifolds N, we construct a family of functions on the Hamiltonian group G of the cotangent bundle T*N. These restrict to homogeneous quasi-morphisms on the s…
math.SG2010
A comparison of symplectic homogenization and Calabi quasi-states
Alexandra Monzner, Frol Zapolsky
We compare two functionals defined on the space of continuous functions with compact support in an open neighborhood of the zero section of the cotangent bundle of a torus. One com…