Asymptotic mapping class groups of closed surfaces punctured along Cantor sets
From MaRDI portal
Publication:5154983
zbMath1475.57031arXiv1701.08132MaRDI QIDQ5154983
Publication date: 5 October 2021
Full work available at URL: https://arxiv.org/abs/1701.08132
Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items (3)
Asymptotically rigid mapping class groups. I: Finiteness properties of braided Thompson's and Houghton's groups ⋮ Big Mapping Class Groups: An Overview ⋮ The conjugacy problem for symmetric Thompson-like groups
Cites Work
- Improved homological stability for the mapping class group with integral or twisted coefficients
- Abelian and solvable subgroups of the mapping class group
- The unstable integral homology of the mapping class groups of a surface with boundary
- Configuration models for moduli spaces of Riemann surfaces with boundary
- Stability of the homology of the mapping class groups of orientable surfaces
- The virtual cohomological dimension of the mapping class group of an orientable surface
- A presentation for the mapping class group of a closed orientable surface
- Introductory notes on Richard Thompson's groups
- Isomorphisms between curve graphs of infinite-type surfaces are geometric
- Some isomorphism results for Thompson-like groups \(V_n(G)\)
- Algebraic and topological properties of big mapping class groups
- On a universal mapping class group of genus zero
- Bounded cohomology of subgroups of mapping class groups
- The Poisson boundary of the mapping class group
- Homomorphisms between mapping class groups
- An elementary approach to the mapping class group of a surface
- The homology of the Higman-Thompson groups
- Curve complexes and finite index subgroups of mapping class groups
- The group of parenthesized braids.
- Geometric representations of the braid groups
- On the automorphism group of the asymptotic pants complex of an infinite surface of genus zero
- Commentaries on the paper "Solenoidal Manifolds" by Dennis Sullivan
- Diffeomorphism groups of tame Cantor sets and Thompson-like groups
- The Algebraic Simplicity of Certain Groups of Homeomorphisms
- Isomorphisms Between Big Mapping Class Groups
- Two Theorems on the Mapping Class Group of a Surface
- Hyperbolic rigidity of higher rank lattices
- Finiteness Properties of Some Groups of Local Similarities
- The algebra of strand splitting. I. A braided version of Thompson's group V
- On the Classification of Noncompact Surfaces
- The First Integral Cohomology of Pure Mapping Class Groups
- The mapping class group of a genus two surface is linear
- An infinite genus mapping class group and stable cohomology
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic mapping class groups of closed surfaces punctured along Cantor sets