Non-triviality of the -polynomial for knots in .
Displaying 841 – 860 of 1631
Normal all pseudo-Anosov subgroups of mapping class groups.
Whittlesey, Kim (2000)
Geometry & Topology
Normal-convexity and equations over groups.
Stephen G. Brick (1988)
Inventiones mathematicae
Note on the Casson-Gordon Invariant of a Satellite Knot.
Hamid Abchir (1996)
Manuscripta mathematica
Notes on tiled incompressible tori
Leonid Plachta (2012)
Open Mathematics
Let Θ denote the class of essential tori in a closed braid complement which admit a standard tiling in the sense of Birman and Menasco [Birman J.S., Menasco W.W., Special positions for essential tori in link complements, Topology, 1994, 33(3), 525–556]. Moreover, let R denote the class of thin tiled tori in the sense of Ng [Ng K.Y., Essential tori in link complements, J. Knot Theory Ramifications, 1998, 7(2), 205–216]. We define the subclass B ⊂ Θ of typical tiled tori and show that R ⊂ B. We also...
Null k-cobordant links in S3.
Xiao-Song Lin (1991)
Commentarii mathematici Helvetici
Nullification number and flyping conjecture
Dino Sola (1991)
Rendiconti del Seminario Matematico della Università di Padova
Numerical application of knot invariants and universality of random knotting
Tetsuo Deguchi, Kyoichi Tsurusaki (1998)
Banach Center Publications
We study universal properties of random knotting by making an extensive use of isotopy invariants of knots. We define knotting probability () by the probability of an N-noded random polygon being topologically equivalent to a given knot K. The question is the following: for a given model of random polygon how the knotting probability changes with respect to the number N of polygonal nodes? Through numerical simulation we see that the knotting probability can be expressed by a simple function of...
Of Torus and Turk's-Head Knots: A Polar Trigonometric Modeling
Skip Pennock (2004)
Visual Mathematics
On 10-crossing knots
Perko, Kenneth A. jr. (1979)
Portugaliae mathematica
On 3-manifold invariants arising from finite-dimensional Hopf algebras.
Tian, Jianjun Paul (2007)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
On 3-Manifolds with Finite Solvable Fundamental Groups.
C.B. Thomas (1979)
Inventiones mathematicae
On 4-fold covering moves.
Apostolakis, Nikos (2003)
Algebraic & Geometric Topology
On a certain move generating link-homology.
Hitoshi Murakami, Yasutaka Nakanishi (1989)
Mathematische Annalen
On a class of spaces for which the fixed-point property is characterized by homology groups
Chung-Wu Ho (1975)
Colloquium Mathematicae
On a Conjecture of Magnus on the Hurwitz Monodromy Group.
Colin Maclachlan (1973)
Mathematische Zeitschrift
On a covering group theorem and its applications.
Grigorian, S.A., Gumerov, R.N. (2002)
Lobachevskii Journal of Mathematics
On a problem in effective knot theory
Stefano Galatolo (1998)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
The following problem is investigated: «Find an elementary function such that if is a knot diagram with crossings and the corresponding knot is trivial, then there is a sequence of Reidemeister moves that proves triviality such that at each step we have less than crossings». The problem is shown to be equivalent to a problem posed by D. Welsh in [7] and solved by geometrical techniques (normal surfaces).
On a problem of S. Ulam concerning Cartesian squares of 2-dimensional polyhedra
Witold Rosicki (1987)
Fundamenta Mathematicae
On a proof of the JSJ theorem.
Costantino, F. (2002)
Rendiconti del Seminario Matematico