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2016

2016

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

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Highly Cited

2014

Highly Cited

2014

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

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2013

2013

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

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2008

2008

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

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2004

2004

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

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2003

2003

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

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Highly Cited

2000

Highly Cited

2000

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

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1995

1994

1993

1993

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

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