搜索结果: 1-15 共查到“拓扑学 Groups”相关记录37条 . 查询时间(0.199 秒)
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Unstable homotopy groups of indecomposable A_3^2-complexes
不可分解 A_3^2 配合物 不稳定 同伦群
2023/4/14
In this talk, I will introduce the methods for calculating the unstable homotopy groups of finite CW-complexes which builds on works of the relative James construction initiated by B. Gray in 1973 and...
TOPOLOGICAL SYMMETRY GROUPS OF COMPLETE GRAPHS IN THE 3-SPHERE
TOPOLOGICAL SYMMETRY THE 3-SPHERE
2015/12/17
The orientation preserving topological symmetry group of
a graph embedded in the 3-sphere is the subgroup of the automorphism
group of the graph consisting of those automorphisms which can be
induc...
COHOMOLOGY OF U(2,1) REPRESENTATION VARIETIES OF SURFACE GROUPS
U(2,1) REPRESENTATION VARIETIES SURFACE GROUPS
2015/12/17
In this paper we use the Morse theory of the Yang-Mills-Higgs functional on the singular space of Higgs bundles on Riemann surfaces to compute the equivariant cohomology of the space of semistable U(2...
TOPOLOGICAL SYMMETRY GROUPS OF GRAPHS IN 3-MANIFOLDS
GRAPHS IN 3-MANIFOLDS SYMMETRY GROUPS
2015/12/17
We prove that for every closed, connected, orientable, irreducible 3-manifold, there exists an alternating group An which is not
the topological symmetry group of any graph embedded in the manifold.
...
Cohomology of Kac-Moody groups over a finite field
Cohomology classifying spaces Kac-Moody groups
2012/6/26
We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$.
Homomorphisms between diffeomorphism groups
Homomorphisms diffeomorphism groups Geometric Topology
2012/6/25
For r at least 3, p at least 2, we classify all actions of the groups Diff^r_c(R) and Diff^r_+(S1) by C^p -diffeomorphisms on the line and on the circle. This is the same as describing all nontrivial ...
We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise.
On visualization of the linearity problem for mapping class groups of surfaces
visualization linearity problem mapping class groups surfaces
2012/3/1
We derive two types of linearity conditions for mapping class groups of orientable surfaces; one for once-punctured surface, and the other for closed surface, respectively. For the once-punctured case...
On the equivariant cohomology of rotation groups and Stiefel manifolds
cohomology of rotation groups Stiefel manifolds Algebraic Topology
2011/9/22
Abstract: In this paper, we compute the $RO(\mathbb{Z}/2)$-graded equivariant cohomology of rotation groups and Stiefel manifolds with particular involutions.
Nilpotent $p$-local finite groups
nilpotent p-local fusion p-local finite group fusion system
2011/9/21
Abstract: In this paper we prove characterizations of $p$-nilpotency for fusion systems and $p$-local finite groups that are inspired by results in the literature for finite groups. In particular, we ...
On L-spaces and left-orderable fundamental groups
left-orderable fundamental groups Geometric Topology
2011/9/20
Abstract: Examples suggest that there is a correspondence between L-spaces and 3-manifolds whose fundamental groups cannot be left-ordered. In this paper we establish the equivalence of these conditio...
Abstract: Let $B$ be a finite CW complex and $G$ a compact connected Lie group. We show that the number of gauge groups of principal $G$-bundles over $B$ is finite up to $A_n$-equivalence for $n<\inft...
Computing the homology of groups: the geometric way
homology of groups the geometric way Algebraic Topology
2011/9/14
Abstract: In this paper we present several algorithms related with the computation of the homology of groups, from a geometric perspective (that is to say, carrying out the calculations by means of si...
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
2011/8/31
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.
Conjugacy growth of finitely generated groups
Conjugacy growth function small cancellation theory relatively hyperbolic group quasiisometry
2011/8/31
Abstract: We show that every non-decreasing function $f\colon \mathbb N\to \mathbb N$ bounded from above by $a^n$ for some $a\ge 1$ can be realized (up to a natural equivalence) as the conjugacy growt...