Quasi-isometry type of the metric space derived from the kernel of the Calabi homomorphism

2017/03/27 by Tomohiko Ishida, Ishida, Tomohiko
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Group Theory (math.GR) #Primary 37C15 #Secondary 37E30 #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1703.09330

openalex publication_date 2017/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the set of symmetrized conjugacy classes of the kernel of the Calabi homomorphism on the group of area-preserving diffeomorphisms of the 2-disk is not quasi-isometric to the half line.

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