搜索结果: 91-105 共查到“几何拓扑学”相关记录123条 . 查询时间(2.607 秒)
Unknotting and Ascending Numbers of Knots and their Families
Conway notation knot family signature unknotting number ascending number
2011/9/1
Abstract: Ascending numbers are determined for 64 knots with at most n=10 crossings. After proving the theorem about the signature of alternating knot families, we distinguished all families of knots ...
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...
The Witten-Reshetikhin-Turaev invariants of finite order mapping tori II
The Witten-Reshetikhin-Turaev invariants finite order mapping tori II Geometric Topology
2011/8/31
Abstract: We identify the leading order term of the asymptotic expansion of the Witten-Reshetikhin-Turaev invariants for finite order mapping tori with classical invariants for all simple and simply-c...
Knot state asymptotics II, Witten conjecture and irreducible representations
Knot state asymptotics II Witten conjecture irreducible representations Geometric Topology
2011/8/30
Abstract: This article pursues the study of the knot state asymptotics in the large level limit initiated in "Knot sate Asymptotics I". As a main result, we prove the Witten asymptotic expansion conje...
Knot state asymptotics I, AJ Conjecture and abelian representations
Knot state asymptotics I AJ Conjecture abelian representations Geometric Topology
2011/8/30
Abstract: Consider the Chern-Simons topological quantum field theory with gauge group SU(2) and level k. Given a knot in the 3-sphere, this theory associates to the knot exterior an element in a vecto...
Combinatorial knot Floer homology and cyclic double branched covers
Combinatorial knot Floer homology cyclic double branched covers Geometric Topology
2011/8/26
Abstract: Using a Heegaard diagram for the pullback of a knot $K \subset S^3$ in its cyclic double branched cover $\Sigma_2(K)$, we give a combinatorial proof for the invariance of knot Floer homology...
Extending maps by injective $σ$-$Z$-maps in Hilbert manifolds
infinite-dimensional manifolds Z-zets embeddings limitation topology
2011/8/29
Abstract: The aim of the paper is to prove that if $M$ is a metrizable manifold modelled on a Hilbert space of dimension $\alpha \geq \aleph_0$ and $F$ is its $\sigma$-$Z$-set, then for every complete...
Combinatorial R-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces
R-tree generalized Cayley graph one-dimensional space
2011/8/29
Abstract: In their study of fundamental groups of one-dimensional path-connected compact metric spaces, Cannon and Conner have asked: Is there a tree-like object that might be considered the topologic...
Khovanov Homology
bracket polynomial Khovanov homology cube category simplicial category tangle cobordism chain complex
2011/8/30
Abstract: This paper is an introduction to Khovanov homology.
Pseudo-Developing Maps for Ideal Triangulations I: Essential Edges and Generalised Hyperbolic Gluing Equations
3-manifold ideal triangulation parameter space Thurston's gluing equations
2011/8/25
Abstract: Let N be a topologically finite, orientable 3-manifold with ideal triangulation. We show that if there is a solution to the hyperbolic gluing equations, then all edges in the triangulation a...
Convex hyperspaces of probability measures and extensors in the asymptotic category
Compact convex set probability measure asymptotically zero-dimensional space absolute extensor
2011/8/26
Abstract: The objects of the Dranishnikov asymptotic category are proper metric spaces and the morphisms are asymptotically Lipschitz maps. In this paper we provide an example of an asymptotically zer...
The Kauffman polynomial and trivalent graphs
braids invariants for graphs and links Kau man polynomial knotted graphs
2011/8/26
Abstract: We construct a state model for the two-variable Kauffman polynomial using planar trivalent graphs. We also use this model to obtain a polynomial invariant for trivalent graphs embedded in th...
Abstract: We show that for a strongly convergent sequence of geometrically finite Kleinian groups with geometrically finite limit, the Cannon-Thurston maps of limit sets converge uniformly. If however...
Generalization of some extremal problems on non-overlapping domains with free poles
Geometric Topology Complex Variables non-overlapping domains free poles
2011/8/25
Abstract: Although much research has been devoted to extremal problems on non-overlapping domains little is known about all solutions of this problems. We generalized some of this problems on the case...
Classification of 3-bridge spheres of 3-bridge arborescent links
3-bridge spheres 3-bridge arborescent links Geometric Topology
2011/8/26
Abstract: In this paper, we give an isotopy classification of 3-bridge spheres of 3-bridge arborescent links, which are not Montesinos links. To this end, we prove a certain refinement of a theorem of...