Journal of the Mathematical Society of Japan
- J. Math. Soc. Japan
- Volume 69, Number 3 (2017), 1079-1097.
On usual, virtual and welded knotted objects up to homotopy
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.
J. Math. Soc. Japan, Volume 69, Number 3 (2017), 1079-1097.
First available in Project Euclid: 12 July 2017
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AUDOUX, Benjamin; BELLINGERI, Paolo; MEILHAN, Jean-Baptiste; WAGNER, Emmanuel. On usual, virtual and welded knotted objects up to homotopy. J. Math. Soc. Japan 69 (2017), no. 3, 1079--1097. doi:10.2969/jmsj/06931079. https://projecteuclid.org/euclid.jmsj/1499846518