Dynamical and cohomological obstructions to extending group actions
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- Dynamical and cohomological obstructions to extending
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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.
Originalsprog | Engelsk |
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Tidsskrift | Mathematische Annalen |
Vol/bind | 377 |
Udgave nummer | 3-4 |
Sider (fra-til) | 1313-1338 |
Antal sider | 26 |
ISSN | 0025-5831 |
DOI | |
Status | Udgivet - 2020 |
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ID: 257709941