Results 11 to 20 of about 865 (218)
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
core +1 more source
Links with surgery yielding the 3-sphere [PDF]
, 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
core +1 more source
Positive tree-like mapping classes [PDF]
, 2006 In this paper we will study special mapping classes of orientable surfaces with one boundary component. A mapping class is an element of the mapping class group. The mapping class group for an orientable surface S with boundary is defined as MCG(S) =
Gerber, Yvonne
core +1 more source
, 2005 Optical vortices generically arise when optical beams are combined. Recently, we reported how several laser beams containing optical vortices could be combined to form optical vortex loops, links and knots embedded in a light beam (Leach et al 2004 ...
Dennis, MR +13 more
core +1 more source
Knots and Links in Overtwisted Contact Manifolds [PDF]
, 2021 Suppose $(\M,\xi)$ be an overtwisted contact 3-manifold. We prove that any Legendrian and transverse link in $(\M,\xi)$ having overtwisted complement can be coarsely classified by their classical invariants.
Chatterjee, Rima
core +2 more sources
An assessment of the strength of knots and splices used as eye terminations in a sailing environment [PDF]
, 2006 Research into knots, splices and other methods of forming an eye termination has been limited, despite the fact that they are essential and strongly affect the performance of a rope.
McLaren, A. J. +2 more
core +1 more source
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
core +1 more source
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
core +2 more sources
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
core +1 more source
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>
core +1 more source