Markov Theorem For Free Links

Details Markov Theorem For Free Links Markov Theorem For Free Links

2011-12-17

arxiv.org/abs/1112.4061v1

Mathematics

Geometric Topology

15 pages, 22 figures

Scientific paper

The notion of free link is a simplified version of virtual link. In the
present paper we define the group of free braids, prove the Alexander theorem
that all free knots can be obtained as closures of free braids and prove a
Markov theorem, which gives necessary and sufficient conditions for two free
braids to have the same free link closure.

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