Dynamical and cohomological obstructions to extending group actions

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Dokumenter

  • Kathryn Mann
  • Sam Nariman

Motivated by a question of Ghys, we study obstructions to extending group actions on the boundary ∂M of a 3-manifold to a C-action on M. Among other results, we show that for a 3-manifold M, the S1× S1 action on the boundary does not extend to a C-action of S1× S1 via homeomorphisms that are isotopic to the identity as a discrete group on M, except in the trivial case M≅ D2× S1.

OriginalsprogEngelsk
TidsskriftMathematische Annalen
Vol/bind377
Udgave nummer3-4
Sider (fra-til)1313-1338
Antal sider26
ISSN0025-5831
DOI
StatusUdgivet - 2020

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