The Calabi invariant for some groups of homeomorphisms
Symplectic Geometry
2009-04-12 v3
Abstract
We show that the Calabi homomorphism extends to some groups of homeomorphisms on exact symplectic manifolds. The construction is based on the uniqueness of the generating Hamiltonian (proved by Viterbo) of continuous Hamiltonian isotopies (introduced by Mueller and Oh).
Cite
@article{arxiv.0811.3133,
title = {The Calabi invariant for some groups of homeomorphisms},
author = {Vincent Humiliere},
journal= {arXiv preprint arXiv:0811.3133},
year = {2009}
}
Comments
16 pages, proof of the main result simplified, "motivations" section improved