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Article Dans Une Revue Journal of the Mathematical Society of Japan Année : 2017

On usual, virtual and welded knotted objects up to homotopy

Jean-Baptiste Meilhan

Résumé

We consider several classes of knotted objects, namely usual, virtual and welded pure braids and string links, and two equivalence relations on those objects, induced by either self-crossing changes or self-virtualizations. We provide a number of results which point out the differences between these various notions. The proofs are mainly based on the techniques of Gauss diagram formulae.
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Dates et versions

hal-01176073 , version 1 (14-07-2015)

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Benjamin Audoux, Paolo Bellingeri, Jean-Baptiste Meilhan, Emmanuel Wagner. On usual, virtual and welded knotted objects up to homotopy. Journal of the Mathematical Society of Japan, 2017, 69 (3), pp.1079--1097. ⟨10.2969/jmsj/06931079⟩. ⟨hal-01176073⟩
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