Moves on Pseudoline Diagrams

Handle Moves in Contact Surgery Diagrams

We describe various handle moves in contact surgery diagrams, notably contact analogues of the Kirby moves. As an application of these handle moves, we discuss the respective classifications of long and loose Legendrian knots.

Symmetric Simplicial Pseudoline Arrangements

A simplicial arrangement of pseudolines is a collection of topological lines in the projective plane where each region that is formed is triangular. This paper refines and develops David Eppstein’s notion of a kaleidoscope construction for symmetric pseudoline arrangements to construct and analyze several infinite families of simplicial pseudoline arrangements with high degrees of geometric sym...

DNA amplification moves on

whether fasting and changes in diet might be changing leptin levels, thus altering the function of T cells. The implication of this new work is that leptin drives the activity of pro-inflammatory, self-reactive T cells, and that starvation, which reduces leptin production, changes the pattern of cytokines generated and the disease-inducing potential of the T cells. So, the authors show that ins...

Elementary Moves on Triangulations

It is proved that a triangulation of a polyhedron can always be transformed into any other triangulation of the polyhedron using only elementary moves. One consequence is that an additive function (valuation) defined only on simplices may always be extended to an additive function on all polyhedra. 2000 AMS subject classification: 52B45; 52A38; 57Q15;

Extremal Configurations and Levels in Pseudoline Arrangements