Smoothing finite group actions on three-manifolds
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Publication:2037852
DOI10.1215/00127094-2020-0052zbMath1469.57027arXiv1901.11127OpenAlexW3155568900MaRDI QIDQ2037852
Publication date: 8 July 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.11127
Finite groups of transformations in algebraic topology (including Smith theory) (55M35) Finite transformation groups (57S17) Group actions on manifolds and cell complexes in low dimensions (57M60) Wild embeddings (57M30) Compact groups of homeomorphisms (57S10) Smoothing in differential topology (57R10)
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Cites Work
- Finite group actions on 3-manifolds
- On Dehn's lemma and the asphericity of knots
- Approximating surfaces with polyhedral ones
- On the loop theorem
- An alternative proof that 3-manifolds can be triangulated
- A piecewise-linear method for triangulating 3-manifolds
- JSJ-decompositions of knot and link complements in \(S^3\)
- PL minimal surfaces in 3-manifolds
- Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature
- The existence of minimal immersions of 2-spheres
- Das Nielsensche Realisierungsproblem für hinreichend große 3- Mannigfaltigkeiten
- Least area incompressible surfaces in 3-manifolds
- Deforming homotopy involutions of 3-manifolds to involutions. II
- Homeomorphisms of sufficiently large \(P^2\)-irreducible 3-manifolds
- Periodische Homöomorphismen Seifertscher Faserräume
- Deforming homotopy involutions of 3-manifolds to involutions
- Homotopy equivalences of 3-manifolds with boundaries
- Canonical decompositions of 3-manifolds
- Geodesic length functions and the Nielsen problem
- The geometry of finitely generated Kleinian groups
- Homotopy invariant algebraic structures on topological spaces
- The theorem of Kerékjártó on periodic homeomorphisms of the disc and the sphere
- On irreducible 3-manifolds which are sufficiently large
- Stable homeomorphisms and the annulus conjecture
- A fibre bundle description of Teichmüller theory
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- A proof of the regularity everywhere of the classical solution to Plateau's problem
- Teichmüller theory for surfaces with boundary
- Involutions of the 3-sphere which fix 2-spheres
- On spaces of Kleinian groups
- Regularity of minimizing surfaces of prescribed mean curvature
- Strong rigidity of Q-rank 1 lattices
- Inequivalent families of periodic homeomorphisms of \(E^ 3\)
- Transformations of finite period
- Transformations of finite period. 3. Newman's theorem
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- A homeomorphism between the 3-sphere and the sum of two solid horned spheres
- Minimal Immersions of Closed Riemann Surfaces
- Seifert fibered spaces in 3-manifolds
- ON THE COBAR CONSTRUCTION
- Seminar on Transformation Groups. (AM-46)
- The Existence of Least Area Surfaces in 3-Manifolds
- On the homotopy-commutativity of groups and loop spaces
- Approximating Homotopy Equivalences by Homeomorphisms
- THE TRIANGULATION OF 3-MANIFOLDS
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- Solution of the Problem of Plateau
- Homotopy equivalences of 3-manifolds and deformation theory of Kleinian groups
- Sur les transformations périodiques de la surface de sphère
- The Hilbert–Smith conjecture for three-manifolds
- The Geometries of 3-Manifolds
- Hyperbolic Manifolds
- Uncountably Many Different Involutions of S 3
- On $P^2$-irreducible 3-manifolds
- On the Existence of Incompressible Surfaces in Certain 3-Manifolds. II
- Small ambient isotopies of a 3-manifold which transform one embedding of a polyhedron into another
- Self-Maps on Kleinian Groups
- Le type d'homotopie du groupe des difféomorphismes d'une surface compacte
- Diffeomorphisms of the 2-Sphere
- Examples of Transformation Groups
- The Nielsen realization problem
- Hyperbolic manifolds and discrete groups
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