Symmetries and hidden symmetries of \((\varepsilon, d_L)\)-twisted knot complements. (English) Zbl 1495.57005
Reviewer: Bruno Zimmermann (Trieste)
Found 68 Documents (Results 1–68)
Constructing 1-cusped isospectral non-isometric hyperbolic 3-manifolds. (English) Zbl 1385.57021
Reviewer: Gye-Seon Lee (Heidelberg)
4-colored graphs and knot/link complements. (English) Zbl 1376.57006
Reviewer: Biplab Basak (Ithaca)
Hidden symmetries via hidden extensions. (English) Zbl 1379.57009
Reviewer: Kenneth A. Perko Jr. (New York)
Heegaard genus and rank of augmented link complements. (English) Zbl 1410.57004
MSC:
57M25
57M50
Small knot complements, exceptional surgeries and hidden symmetries. (English) Zbl 1310.57004
Reviewer: Bernd O. Stratmann (Bremen)
A personal account of the discovery of hyperbolic structures on some knot complements. (English) Zbl 1270.57004
Commentary on Robert Riley’s article “A personal account of the discovery of hyperbolic structures on some knot complements”. (English) Zbl 1276.57003
Dehn filling of the “magic” 3-manifold. (English) Zbl 1118.57018
Reviewer: Darryl McCullough (Norman)
Algebraic Markov equivalence for links in three-manifolds. (English) Zbl 1156.57007
MSC:
57M25
57M27
57N10
Small curvature surfaces in hyperbolic 3-manifolds. (English) Zbl 1090.57012
Reviewer: Bruno Zimmermann (Trieste)
Seifert Klein bottles for knots with common boundary slopes. (English) Zbl 1083.57015
Gordon, Cameron (ed.) et al., Proceedings of the Casson Fest. Based on the 28th University of Arkansas spring lecture series in the mathematical sciences, Fayetteville, AR, USA, April 10–12, 2003 and the conference on the topology of manifolds of dimensions 3 and 4, Austin, TX, USA, May 19–21, 2003. Coventry: Geometry and Topology Publications. Geometry and Topology Monographs 7, 27-68 (2004).
Reviewer: Andrei Vesnin (Novosibirsk)
MSC:
57M25
57N10
Generalized \({\overline\mu}\)-invariants for links and hyperplane arrangements. (English) Zbl 1012.57008
Reviewer: Ştefan Papadima (Bucureşti)
Link complements and the Bianchi modular groups. (English) Zbl 0986.20049
Reviewer: Darryl McCullough (Norman)
Closed incompressible surfaces in knot complements. (English) Zbl 0934.57019
Reviewer: Yongwu Rong (Washington)
The simplest hyperbolic knots. (English) Zbl 0933.57010
Signature invariants of links from irregular covers and non-abelian covers. (English) Zbl 0929.57015
MSC:
57Q45
Existence of irreducible representations for knot complements with nonconstant equivariant signature. (English) Zbl 0887.57013
Reviewer: A.Dimca (Bordeaux)
Closed incompressible surfaces of arbitrarily high genus in the complements of certain star knots. (English) Zbl 0822.57007
MSC:
57M25
57N10
Cohomologically generic 2-complexes and 3-dimensional Poincaré complexes. (English) Zbl 0791.57007
Reviewer: B.Berceanu (Bucureşti)
High-dimensional knots with \(\pi_ 1\cong\mathbb{Z}\) are determined by their complements in one more dimension than Farber’s range. (English) Zbl 0805.57017
Reviewer: C.Kearton (Durham)
Formal computations in low-dimensional topology: Links and group presentations. (English) Zbl 0807.55008
Bureš, J. (ed.) et al., The proceedings of the 11th winter school on geometry and physics held in Srní, Czechoslovakia, January 5-12, 1991. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 30, 125-131 (1993).
Reviewer: Y.Felix (Louvain-La-Neuve)
MSC:
55P62
57M25
Any knot complement covers at most one knot complement. (English) Zbl 0739.57006
Reviewer: Wu Ying-Qing
MSC:
57M25
57M10
Representations in \(SU(2)\) of the fundamental groups of the Whitehead link and of doubled knots. (English) Zbl 0780.57004
Reviewer: G.Burde (Frankfurt / Main)
Any knot complement covers at most one knot complement. (English) Zbl 0782.57005
MSC:
57M25
57M10
Lusternik-Schnirelmann category of ribbon knot complement. (English) Zbl 0761.57014
Reviewer: J.Vrabec (Ljubljana)
MSC:
57Q45
55M30
Cusp structures of alternating links. (English) Zbl 0810.57010
Reviewer: J.Hempel (Houston)
An algorithm producing hyperbolicity equations for a link complement in \(S^ 3\). (English) Zbl 0769.57011
Reviewer: D.McCullough (Norman)
MSC:
57M50
57M25
Almost identical link imitations and the skein polynomial. (English) Zbl 0762.57005
Knots 90, Proc. Int. Conf. Knot Theory Rel. Topics, Osaka/Japan 1990, 465-476 (1992).
Reviewer: L.P.Neuwirth (Princeton)
MSC:
57M25
Lusternik-Schnirelmann category of a fibered knot complement with fiber a punctured torus. (English) Zbl 0767.57012
Knots 90, Proc. Int. Conf. Knot Theory Rel. Topics, Osaka/Japan 1990, 407-415 (1992).
Reviewer: W.Singhof (Düsseldorf)
MSC:
57Q45
55M30
Some examples of essential laminations in 3-manifolds. (English) Zbl 0759.57006
Reviewer: A.Hatcher
MSC:
57M25
57R30
Report on classical knot theory. (Rapport sur la théorie classique des nœuds.) (French) Zbl 0752.57003
Séminaire Bourbaki, Vol. 1990/91, Exp. No. 732, Astérisque 201-203, 89-113 (1991).
Reviewer: L.P.Neuwirth (Princeton)
MSC:
57M25
Inequivalent fibred knots whose homotopy Seifert pairings are isometric. (English) Zbl 0711.57015
Reviewer: J.R.Klein
MSC:
57Q45
Depth of knots. (English) Zbl 0742.57015
Reviewer: A.Piatkowski (Łódź)
MSC:
57R30
57M25
Inequivalent genus 2 handlebodies in \(S^ 3\) with homeomorphic complement. (English) Zbl 0712.57008
Reviewer: J.Vrabec
MSC:
57N12
57N10
57M25
Untangling DNA. (English) Zbl 0712.57002
Reviewer: W.Heil
Noeuds dans les 3-variétés à bord qui ne sont pas déterminés par leur complément. (Knots in 3-manifolds with boundary which are not determined by their complement). (French) Zbl 0699.57004
Reviewer: B.Zimmermann
MSC:
57M25
57N10
The space of incompressible surfaces in a 2-bridge link complement. (English) Zbl 0672.57006
Reviewer: J.Przytycki
MSC:
57M25
57N10
Representations of 3-manifold groups and applications in topology. (English) Zbl 0712.57006
Proc. Int. Congr. Math., Berkeley/Calif. 1986, Vol. 1, 607-614 (1987).
Dehn surgery on knots. (English) Zbl 0633.57006
Reviewer: J.Hillman
MSC:
57N10
57M25
Augmented alternating link complements are hyperbolic. (English) Zbl 0632.57008
Low dimensional topology and Kleinian groups, Symp. Warwick and Durham 1984, Lond. Math. Soc. Lect. Note Ser. 112, 115-130 (1986).
Reviewer: W.Heil
MSC:
57N10
57M25
Foliations and surgery on knots. (English) Zbl 0606.57014
Reviewer: L.Conlon
Rigidity among prime-knot complements. (English) Zbl 0602.57003
Reviewer: K.Johannson
On the concrete construction of hyperbolic structures of 3-manifolds. (English) Zbl 0585.57007
Reviewer: V.Turaev
Dehn surgery on knots. (English) Zbl 0571.57008
Reviewer: G.Burde
Necessary and sufficient conditions for certain homology 3-spheres to have smooth \({\mathbb{Z}}_ p\)-actions. (English) Zbl 0557.57006
Necessary and sufficient conditions for certain homology 3-spheres to have smooth \({\mathbb{Z}}_ p\)-actions. (English) Zbl 0534.57005
Pac. J. Math. (to appear).
Polyhedra representation of link complements. (English) Zbl 0524.57005
Contemp. Math. 20, 305-325 (1983).
An algorithm for checking property P for knots with complements of Heegaard genus 2. (English) Zbl 0523.57004
On the Rochlin invariants of \(Z_ 2\)-homology 3-spheres with cyclic actions. (English) Zbl 0521.57008
On the boundary curves of incompressible surfaces. (English) Zbl 0502.57005
MSC:
57N10
57M25
Seven excellent knots. (English) Zbl 0482.57004
Low-dimensional topology, Proc. Conf., Bangor/Engl. 1979, Vol. 1, Lond. Math. Soc. Lect. Note Ser. 48, 81-151 (1982).
Knots with Heegaard genus 2 complements are invertible. (English) Zbl 0469.57003
MSC:
57M25
57N10
Link complements and coherent group rings. (English) Zbl 0412.57017
MSC:
57Q45
55Q10
Torus knots in the complements of links and surfaces. (English) Zbl 0411.57003
MSC:
57M25
An elliptical path from parabolic representations to hyperbolic structures. (English) Zbl 0411.57010
Topology of low-dimensional manifolds, Proc. 2nd Sussex Conf. 1977, Lect. Notes Math. 722, 99-113 (1979).
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