Links with surgery yielding the 3-sphere

Motions of Links in the 3-sphere by Deborah

Dehn Surgery on Arborescent Links 3

This paper studies Dehn surgery on a large class of links, called arborescent links. It will be shown that if an arborescent link L is suuciently complicated, in the sense that it is composed of at least 4 rational tangles T (p i =q i) with all q i > 2, and none of its length 2 tangles are of the form T (1=2q 1 ; 1=2q 2), then all complete surgeries on L produce Haken manifolds. The proof needs...

A Surgery Proof of Bing’s Theorem Characterizing the 3-sphere

A classical theorem of R.H. Bing states that a closed connected 3-manifold M is homeomorphic to the 3-sphere if and only if every knot in M is contained in a 3-ball. We give a simple proof of this characterization based on the surgery presentation of 3manifolds. 2000 Mathematics Subject Classification: 57M40, 57R65, 57M25

Complex oscillatory yielding of model hard-sphere glasses.

The yielding behavior of hard sphere glasses under large-amplitude oscillatory shear has been studied by probing the interplay of Brownian motion and shear-induced diffusion at varying oscillation frequencies. Stress, structure and dynamics are followed by experimental rheology and Browian dynamics simulations. Brownian-motion-assisted cage escape dominates at low frequencies while escape throu...

Yielding of hard-sphere glasses during start-up shear.

Concentrated hard-sphere suspensions and glasses are investigated with rheometry, confocal microscopy, and Brownian dynamics simulations during start-up shear, providing a link between microstructure, dynamics, and rheology. The microstructural anisotropy is manifested in the extension axis where the maximum of the pair-distribution function exhibits a minimum at the stress overshoot. The inter...