On the limiting power of set of knots generated by 1+1- and 2+1- braids

Abstract

We estimate from above the set of knots, $\Omega (n,\mu )$, generated by closure of n-string 1+1- and 2+1-dimensional braids of irreducible length $\mu$ ($\mu >>1$) in the limit n>>1.

14 LaTeX pages, 2 PostScript figures

References in corpus (2)

• Statistics of reduced words in locally free and braid groups: Abstract studies and application to ballistic growth model
• Random Operator Approach for Word Enumeration in Braid Groups