Results 11 to 20 of about 529 (207)
Constrained knots in lens spaces [PDF]
, 2021 In this paper, we study a special family of $(1,1)$ knots called constrained knots, which includes 2-bridge knots in the 3-sphere $S^3$ and simple knots in lens spaces.
Ye, Fan
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Diameter Bounds on the Complex of Minimal Genus Seifert Surfaces for Hyperbolic Knot [PDF]
, 2007 Given a link L in the 3-sphere, one can build simplicial complexes MS(L) and IS(L), called the Kakimizu complexes. These complexes have isotopy classes of minimal genus and incompressible Seifert surfaces for L as their vertex sets and have simplicial ...
Pelayo, Roberto Carlos
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Fermionic quantization of Hopf solitons [PDF]
, 2006 In this paper we show how to quantize Hopf solitons using the Finkelstein-Rubinstein approach. Hopf solitons can be quantized as fermions if their Hopf charge is odd.
Speight, J.Martin, Krusch, Steffen
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Knots and links in lens spaces [PDF]
, 2014 The aim of this dissertation is to improve the knowledge of knots and links in lens spaces. If the lens space L(p,q) is defined as a 3-ball with suitable boundary identifications, then a link in L(p,q) can be represented by a disk diagram, i.e. a regular
Manfredi, Enrico <1986>
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Tête-à-tête : graphs and twists [PDF]
, 2015 This is a PhD thesis in the mathematical field of low-dimensional topology. Its main purpose is to examine so-called tête-à-tête twists, which were defined by A'Campo.
Graf, Christian
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Milnor's concordance invariants for knots on surfaces [PDF]
, 2021 Milnor's $\bar{\mu}$-invariants of links in the $3$-sphere $S^3$ vanish on any link concordant to a boundary link. In particular, they are trivial on any knot in $S^3$. Here we consider knots in thickened surfaces $\Sigma \times [0,1]$, where $\Sigma$ is
Chrisman, Micah
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Links with surgery yielding the 3-sphere
, 2002 For any n≥2, we give infinitely many unsplittable links of n components in the 3-sphere which admit non-trivial surgery yielding the 3-sphere again and whose components are mutually distinct hyperbolic knots.
Masakazu Teragaito
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Representing knots by filling Dehn spheres [PDF]
, 2016 We prove that any knot or link in any 3-manifold can be nicely decomposed (split) by a filling Dehn sphere. This has interesting consequences in the study of branched coverings over knots and links.
Vigara, R., Lozano-Rojo, A.
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Casson-Lin Type Invariants for Links [PDF]
, 2010 In 1992, Xiao-Song Lin constructed an invariant h of knots in the 3-sphere via a signed count of the conjugacy classes of irreducible SU(2)-representations of the fundamental group of the knot exterior with trace-free meridians.
Harper, Eric
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Legendrian knots in surgery diagrams and the knot complement problem [PDF]
, 2016 The famous knot complement theorem by Gordon and Luecke states that two knots in the 3-sphere are equivalent if and only if their complements are homeomorphic. By contrast, this does not hold for links in the 3-sphere or for knots in general 3-manifolds.
Kegel, Marc
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