The Group of Contactomorphisms of the Sphere Fixing an Overtwisted Disk

2005/07/21 by Katarzyna Dymara, Dymara, Katarzyna
Mathematics · #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals #math.AT #math.GT

paper · pdf · doi:10.48550/arxiv.math/0507444

8 pages, uses eplain and epsf

arxiv created 2005/07/21 · openalex publication_date 2005/07/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We calculate the weak homotopy type of the group of contactomorphisms of the three-sphere which coincide with the identity on (a neighborhood of) an overtwisted disk.

Related

• A remark on the contactomorphism group of overtwisted contact spheres
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• The homotopy type of the contactomorphism groups of tight contact 3-manifolds, part I