We give necessary conditions of a surface-knot to be ribbon concordant to another, by introducing a new variant of the cocycle invariant of surface-knots in addition to using the invariant already known. We demonstrate that twist-spins of some torus knots are not ribbon concordant to their orientation reversed images.

By studying “points of the underlying quantum groups”of coquasitriangular Hopf (face) algebras, we construct ribbon categories for each lattice models without spectral parameter of both vertex and face type. Also, we give a classification of the braiding and the ribbon structure on quantized classical groups and modular tensor categories closely related to quantum SU(N)Linvariants of 3-manifolds.

This paper gives mathematical models for flat knotted ribbons, and makes specific conjectures for the least length of ribbon (for a given width)) needed to tie the trefoil knot and the figure eight knot. The first conjecture states that (for width one) the least length of ribbon needed to tie an open-ended trefoil knot is

We show that the fundamental group of a ribbon disc complement in the four ball associated with certain prime dense and alternating surface arc projections are CAT(0) and δ-hyperbolic. Using this we produce an infinite class of free-by-cyclic CAT(0), δ-hyperbolic multi ribbon disc groups. AMS Subject classification: 57M05, 57M50, 20F65, 20F67.

For the first time we demonstrate skew of less than 0.25ps / m across a 10-wide graded index multimode fiber ribbon. This sub-picosecond skew extends practical applications of multimode fiber ribbon to include synchronous parallel transmission with an aggregate data-rate distance product of greater than 10Gb / s ⋅km .

Nanohelices of cadmium sulfide (CdS) have been made by the mineralization of supramolecular organic ribbons. A schematic representation of how coiled CdS helices (yellow) can be templated from a twisted ribbon (blue) by growth along one face of the ribbon is shown top right.

Semiconducting heterostructures with type-II band structure have attracted much attention due to their novel physical properties and wide applications in optoelectronics. Herein, we report, for the first time, a controlled synthesis of type-II ZnS/SnO2 heterostructured ribbon composed of SnO2 nanoparticles that uniformly cover the surface of ZnS ribbon via a simple and versatile thermal evapora...

Tensorial logic is a primitive logic of tensor and negation which refines linear logic by relaxing the hypothesis that tensorial negation A 7→ ¬A is involutive. The resulting logic of linear continuations provides a proof-theoretic account of game semantics, where the formulas and proofs of the logic reflect univoquely dialogue games and innocent strategies. In the present paper, we introduce a...

Ultrasound has been used to disperse the cytoplasm of Giardia muris and Giardia duodenalis trophozoites, releasing disk cytoskeletons for negative staining and study by electron microscopy. Sonication also breaks down the corss-bridges uniting microribbons in disks. Individual ribbons and small bundles of these structures, are found in these preparations and have been imaged both from their edg...

Mammalian cells exhibit a frequent pericentrosomal Golgi ribbon organization. In this paper, we show that two AKAP450 N-terminal fragments, both containing the Golgi-binding GM130-interacting domain of AKAP450, dissociated endogenous AKAP450 from the Golgi and inhibited microtubule (MT) nucleation at the Golgi without interfering with centrosomal activity. These two fragments had, however, stri...