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- W4297195370 abstract "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 Entov and Polterovich. The families are parametrized by the first real cohomology of N. In the case N=T^n the family of functions on G coincides with Viterbo's symplectic homogenization operator. These functions have applications to the algebraic and geometric structure of G, to Aubry-Mather theory, to restrictions on Poisson brackets, and to symplectic rigidity." @default.
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- W4297195370 date "2011-11-01" @default.
- W4297195370 modified "2023-09-23" @default.
- W4297195370 title "Partial quasi-morphisms and quasi-states on cotangent bundles, and symplectic homogenization" @default.
- W4297195370 doi "https://doi.org/10.48550/arxiv.1111.0287" @default.
- W4297195370 hasPublicationYear "2011" @default.
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