The Calabi invariant for some groups of homeomorphisms

Details The Calabi invariant for some groups of homeomorphisms The Calabi invariant for some groups of homeomorphisms

2008-11-19

arxiv.org/abs/0811.3133v3

Mathematics

Symplectic Geometry

16 pages, proof of the main result simplified, "motivations" section improved

Scientific paper

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).

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