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

DOI10.1063/1.533109zbMATH Open0965.57005arXivmath/9807149OpenAlexW3098720148MaRDI QIDQ4498504

Author name not available (Why is that?)

Publication date: 16 August 2000

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/math/9807149

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Random operator approach for word enumeration in braid groups

Related Items (1)

Asymptotics for the Number of Simple (4a + 1)-knots of Genus 1

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