- Mapping Class Groups of 3|Manifolds🔍
- Mapping class group of certain 3|manifolds🔍
- mapping class groups of 3|manifolds🔍
- Mapping class groups of 3|manifolds🔍
- VIRTUALLY GEOMETRICALLY FINITE MAPPING CLASS GROUPS ...🔍
- Mapping class group🔍
- Stabilization for mapping class groups of 3|manifolds🔍
- Topological invariants for 3|manifolds using representations of ...🔍
mapping class groups of 3|manifolds
Mapping Class Groups of 3-Manifolds, Then and Now
The mapping class group of a manifold M is the group E(M) of isotopy classes of homeomorphisms (we do not require that the homeomorphisms be orientation-.
Mapping class group of certain 3-manifolds - MathOverflow
Mapping class group of certain 3-manifolds ... Let ξ:M3→F be an orientable circle bundle over a closed orientable surface F of genus g≥2. I am ...
mapping class groups of 3-manifolds
The mapping class group of M is: Γ(M) := π0(Diff(M)) = Diff(M)/isotopy. Recall f is isotopic to g if there exists a smooth map F : M × I → M such that. F0 = f, ...
Mapping class groups of 3-manifolds | Department of Mathematics
Each automorphism of W extends over the 4-dimensional compression body and uniquely determines an automorphism of V. Letting H(W) denote the mapping class group ...
VIRTUALLY GEOMETRICALLY FINITE MAPPING CLASS GROUPS ...
If M is a compact orientable irreducible sufficiently large 3-manifold, then the mapping class group %?(M) contains a subgroup of finite index.
Mapping class group - Wikipedia
In mathematics, in the subfield of geometric topology, the mapping class group is an important algebraic invariant of a topological space.
Stabilization for mapping class groups of 3-manifolds
Abstract. We prove that the homology of the mapping class group of any 3- manifold stabilizes under connected sum and boundary connected sum with an.
Topological invariants for 3-manifolds using representations of ...
A presentation for the mapping class group of a closed orientable surface. Topology, 19 (1980), pp. 221-237
finite presentation of 3-manifold mapping class groups
The (full) mapping class group J/(M) of a manifold M is the group of path com- ponents (i. e. isotopy classes) of the space of homeomorphisms of M. For 2- ...
Mapping class groups in higher dimensions - Math Stack Exchange
At this point it seems like most of what I've read involves very low dimensional (surfaces and 3-manifolds) applications. I was wondering if ...
[0709.2173] Stabilization for mapping class groups of 3-manifolds
Abstract page for arXiv paper 0709.2173: Stabilization for mapping class groups of 3-manifolds.
This is part of a general story: the theory of taut foliations of 3-manifolds is the study of mapping classes of surfaces of infinite type.
A Brief Introduction to Mapping Class Groups - Yale Math
The group appears naturally in many contexts. It is relevant for describing gluings of 3-manifolds along boundary surfaces; for classifying bundles whose fibres.
ON MAPPING CLASS GROUPS OF CONTRACTIBLE OPEN 3 ...
terms of the mapping class groups of certain compact 3-manifolds associated to. V . The computation is carried out for a genus two example and for the ...
We will call a surface S equipped with a geometric structure modelled on the hyperbolic plane, as in Theorem 2.1, a hyperbolic surface. Lecture 3: Curves and ...
A Primer on Mapping Class Groups
Page 1. Page 2. A Primer on Mapping Class Groups. Page 3. Princeton Mathematical ... ubiquitous: from hyperbolic geometry to algebraic geometry to combinato- rial ...
Mapping class group of a surface - Wikipedia
The mapping class group can be defined for arbitrary manifolds (indeed, for arbitrary topological spaces) but the 2-dimensional setting is the most studied ...
The mapping class group of manifolds which are like projective planes
In this paper we compute the mapping class group of simply-connected closed smooth manifolds M with integral homology.
Finite presentation of mapping class groups of certain three-manifolds
Since there is an exact sequence of mapping class groups: H + (Vrel∂V−F)→ H + (M, V)→ H + (M',∂V−F)→1 , we can prove that H (M) is finitely presented by proving ...
Mapping Class Groups of 3-Manifolds, Then and Now - ResearchGate
This method identifies landmarks as points, extrapolates lines from consecutive point observations, and generates point-line pairs using geometric and ...