Results 11 to 20 of about 863 (217)
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
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
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
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
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
core +1 more source
Bioinspired Adaptive Sensors: A Review on Current Developments in Theory and Application
Advanced Materials, EarlyView.This review comprehensively summarizes the recent progress in the design and fabrication of sensory‐adaptation‐inspired devices and highlights their valuable applications in electronic skin, wearable electronics, and machine vision. The existing challenges and future directions are addressed in aspects such as device performance optimization ...
Guodong Gong +12 more
wiley +1 more source
Seifert's algorithm, Châtelet bases and the Alexander ideals of classical knots [PDF]
, 2002 I begin by developing a procedure for the construction of a Seifert surface, using Seifert's algorithm, and the calculation of a Seifert matrix for a knot from a suitable encoding of a knot diagram. This procedure deals with the inherent indeterminacy of
O'Brien, Killian Michael
core
Resonant Domain Wall Dynamics in a Three‐Dimensional Magnetic Nano Double Helix
Advanced Materials, EarlyView.3D magnetic nanostructures promise exciting possibilities for magnetization dynamics. However, experimental realizations remain scarce. In nanoprinted cobalt double helices, time‐resolved X‐ray microscopy reveals harmonic domain wall dynamics. Simulations identify the mode and additional higher‐frequency resonances, revealing a rich dynamic landscape ...
Pamela Morales‐Fernández +15 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source