搜索结果: 76-90 共查到“知识库 几何拓扑学”相关记录99条 . 查询时间(5.364 秒)
Combinatorial knot Floer homology and cyclic double branched covers
Combinatorial knot Floer homology cyclic double branched covers Geometric Topology
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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...
Limits of limit sets I
Limits of limit sets Metric Geometry Geometric Topology
font style='font-size:12px;'>
2011/8/25
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
font style='font-size:12px;'>
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
font style='font-size:12px;'>
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...
Koszul spaces
Koszul spaces Algebraic Topology
font style='font-size:12px;'>
2011/8/25
Abstract: We prove that a nilpotent space is both formal and coformal if and only if it is rationally homotopy equivalent to the derived spatial realization of a graded commutative Koszul algebra. We ...
Generalized Lantern Relations and Planar Line Arrangements
Generalized Lantern Relations Planar Line Arrangements Geometric Topology
font style='font-size:12px;'>
2011/8/24
Abstract: In this paper we show that to each planar line arrangement defined over the real numbers, for which no two lines are parallel, one can write down a corresponding relation on Dehn twists that...
Exceptional surgeries on components of two-bridge links
Dehn surgery, exceptional surgery, 2-bridge link
font style='font-size:12px;'>
2011/8/24
Abstract: In this paper, we give a complete classification of exceptional Dehn surgeries on a component of a hyperbolic two-bridge link in the 3-sphere.
Hyperbolicity and identification of Berge knots of types VII and VIII
doubly primitive knot Alexander polynomial Reidemeister torsion
font style='font-size:12px;'>
2011/8/23
Abstract: T. Saito and M. Teragaito asked in their paper whether Berge knots of type VII, which can be situated on the fiber surface of the lefthand trefoil, are hyperbolic, and showed that some infin...
Amphicheiral links with special properties, II
amphicheiral link Jones polynomial HOMFLY polynomial Alexander polynomial
font style='font-size:12px;'>
2011/8/23
Abstract: We determine prime amphicheiral links with at least 2 components and up to 11 crossings. There are 27 such links. We check also special amphicheiralities. Most of prime links with up to 11 c...