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

R. Bikbov (1) , S. Nechaev (1, 2)

1 L.D. Landau Institute for Theoretical Physics of RAS
2 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques

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.

Domaines: Topologie géométrique [math.GT]

R. Bikbov, S. Nechaev. On the limiting power of set of knots generated by 1+1- and 2+1- braids. Journal of Mathematical Physics, 1999, 40, pp.6598-6608. ⟨hal-00003953⟩