The Calabi invariant for some groups of homeomorphisms

2008/11/19 by Vincent Humilière, Humiliere, Vincent
Chemistry · Mathematics · #37J05 #53D99 #Advanced Algebra and Geometry #FOS: Mathematics #Geometric and Algebraic Topology #Organophosphorus compounds synthesis #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0811.3133

openalex publication_date 2008/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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).

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