Braid Burn virus

For each braid $$\beta \in \mathfrak {Br}_n$$β∈Brn we construct a 2-periodic complex $$\mathbb {S}_\beta $$Sβ of quasi-coherent… Expand

We construct a genus one analogue of the theory of associators and the Grothendieck–Teichmüller (GT) group. The analogue of the… Expand

This paper is an introduction to relationships between quantum topology and quantum computing. We take a foundational approach… Expand

----- Please see the pdf file for the actual abstract and important remarks, which could not be put here due to the arXiv length… Expand

Let B n be the Artin braid group on n strings with standard generators σ 1 ,..., σ n - 1 , and let SB n be the singular braid… Expand

We introduce and develop a?language of semigroups over the braid groups to study the braid monodromy factorizations (bmf's) of… Expand

We propose a general way of constructing set-theoretical solutions of the YangBaxter equation. We study the properties of the… Expand

 

 

We obtain an R-matrix or matrix representation of the Artin braid group acting in a canonical way on the vector space of every… Expand