Partial quasi-morphisms and quasi-states on cotangent bundles, and symplectic homogenization
Partial quasi-morphisms and quasi-states on cotangent bundles, and symplectic homogenization
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 functions with compact support on T^*N. These satisfy properties analogous to those of partial quasi-morphisms and quasi-states of …