Small \(C^1\) actions of semidirect products on compact manifolds
DOI10.2140/agt.2020.20.3183zbMath1468.57018arXiv1910.04620OpenAlexW3146142577MaRDI QIDQ2663396
Michele Triestino, Thomas Koberda, Christian Bonatti, Sang-hyun Kim
Publication date: 16 April 2021
Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.04620
fibered 3-manifoldhyperbolic dynamicsgroups acting on manifolds\(C^1\)-actions close to the identity
Extensions, wreath products, and other compositions of groups (20E22) General geometric structures on low-dimensional manifolds (57M50) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Group actions on manifolds and cell complexes in low dimensions (57M60) Differentiable mappings in differential topology (57R35)
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Cites Work
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- Right-angled Artin groups in the \(C^\infty\) diffeomorphism group of the real line
- Residual properties of fibered and hyperbolic 3-manifolds
- A universal nilpotent group of \(C^1\) diffeomorphisms of the interval
- Simple root flows for Hitchin representations
- Zimmer's conjecture for actions of \(\mathrm{SL}(m,\mathbb{Z})\)
- \(C^1\) actions on the mapping class groups on the circle
- Actions localement libres du groupe affine
- New proofs of some results of Nielsen
- The lower central series of the free partially commutative group
- A generalization of the Reeb stability theorem
- Polynomial growth in holonomy groups of foliations
- Bounded cohomology of lattices in higher rank Lie groups
- Lattice actions on the circle
- Differentiable rigidity of Fuchsian groups
- On foliated circle bundles over closed orientable 3-manifolds
- Surface groups of diffeomorphisms of the interval
- The geometry of surface-by-free groups.
- Rigidity of mapping class group actions on \(S^1\)
- Differentiability, rigidity and Godbillon-Vey classes for Anosov flows
- Unsmoothable group actions on compact one-manifolds
- Rigidity for \(C^1\) actions on the interval arising from hyperbolicity. I: Solvable groups
- On one-dimensional dynamics in intermediary regularity
- Real places and torus bundles
- 3-manifold groups
- \(C^1\) isometric imbeddings
- Sur les rapprochements par conjugaison en dimension 1 et classe
- Nilpotent dynamics in dimension one: structure and smoothness
- Rigidity of trivial actions of abelian-by-cyclic groups
- Arithmetic Groups of Higher ℚ-Rank Cannot Act on 1-Manifolds
- Groups of homeomorphisms of one-manifolds III: nilpotent subgroups
- Free products and the algebraic structure of diffeomorphism groups
- Genera of the arborescent links
- Hyperplane sections in arithmetic hyperbolic manifolds
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