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On the Alexander theorem for the oriented Thompson group \overarrow F

Valeriano Aiello
In [10] and [12] Vaughan Jones introduced a construction which yields oriented knots and links from elements of the oriented Thompson group F. In this paper we prove, by analogy with Alexander's classical theorem establishing that every knot or link can be represented as a closed braid, that given an oriented knot /link L, there exists an element g in F whose closure L(g) is L.
doi:10.48350/151256 fatcat:oukuwgkeojdkzk5ijg3oc2vdqy