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Dive into the research topics where Ivan Dynnikov is active.

Publication


Featured researches published by Ivan Dynnikov.


Journal of the European Mathematical Society | 2007

ON THE COMPLEXITY OF BRAIDS

Ivan Dynnikov; Bert Wiest

We define a measure of ``complexity of a braid which is natural with respect to both an algebraic and a geometric point of view. Algebraically, we modify the standard notion of the length of a braid by introducing generators


Fundamenta Mathematicae | 2006

Arc-presentations of links: Monotonic simplification

Ivan Dynnikov

Delta_{ij}


Panoramas et synthèses - Société mathématique de France | 2002

Why are braids orderable

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

, which are Garside-like half-twists involving strings


Geometriae Dedicata | 2009

Geometry of plane sections of the infinite regular skew polyhedron {4, 6 | 4}

Roberto DeLeo; Ivan Dynnikov

i


Archive | 2008

Dual braid monoids

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

through


Archive | 2008

Applications of the braid ordering

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

j


Archive | 2008

The space of all braid orderings

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

, and by counting powered generators


Archive | 2008

A linear ordering of braids

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

Delta_{ij}^k


Archive | 2008

Automorphisms of a free group

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

as


Archive | 2008

Open questions and extensions

Patrick Dehornoy; Ivan Dynnikov; Dale Rolfsen; Bert Wiest

log(|k|+1)

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Dale Rolfsen

University of British Columbia

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