Brunnian links are determined by their complements.
Brunnian local moves of knots and Vassiliev invariants
K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of -moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.
Calculation of the Casson-Walker-Lescop invariant from chord diagrams
Calculations with the Temperley - Lieb algebra.
Calculus of clovers and finite type invariants of 3-manifolds.
Can computers discover ideal knots?
Casson invariant of links of singularities.
Categorification of the Kauffman bracket skein module of -bundles over surfaces.
Characteristic polynomials of some weighted graph bundles and its application to links.
Characters on the trivalent diagram algebra .
Chewing the Khovanov homology of tangles
We present an elementary description of Khovanov's homology of tangles [K2], in the spirit of Viro's paper [V]. The formulation here is over the polynomial ring ℤ[c], unlike [K2] where the theory was presented over the integers only.
Chirurgies de Dehn de pente +-1 sur certains noeuds dans les 3-variétés.
Claspers and finite type invariants of links.
Classical knot and link concordance.
Classification problems in low-dimensional topology
Climbing a Legendrian mountain range without stabilization
We introduce a new braid-theoretic framework with which to understand the Legendrian and transversal classification of knots, namely a Legendrian Markov Theorem without Stabilization which induces an associated transversal Markov Theorem without Stabilization. We establish the existence of a nontrivial knot-type specific Legendrian and transversal MTWS by enhancing the Legendrian mountain range for the (2,3)-cable of a (2,3)-torus knot provided by Etnyre and Honda, and showing that elementary negative...
Closed braids in 3-manifolds.
Cocycle invariants of codimension 2 embeddings of manifolds
We consider the classical problem of a position of n-dimensional manifold Mⁿ in . We show that we can define the fundamental (n+1)-cycle and the shadow fundamental (n+2)-cycle for a fundamental quandle of a knotting . In particular, we show that for any fixed quandle, quandle coloring, and shadow quandle coloring, of a diagram of Mⁿ embedded in we have (n+1)- and (n+2)-(co)cycle invariants (i.e. invariant under Roseman moves).
Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes.
Combinatorial squashings, 3-manifolds, and the third homology of groups.