2015/01/03 by Vassily Olegovich Manturov, Manturov, Vassily Olegovich
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #math.GT
paper · pdf · doi:10.48550/arxiv.1501.00580
13 pages; In version 2, examples concerning Markov theorem are added
arxiv created 2015/01/31 · arxiv updated 2015/02/03
In previous papers, the author realized the following principle for many knot theories: if a knot diagram is complicated enough then it reproduces itself, i.e., is a subdiagram of any other diagram equivalent to it. This principle is realized by diagram-valued invariants [ ] of knots such that [K]=K. It turns out that in the case of free braids, the same principle can be realized an unexpectedly easy way by a one-term invariant formula.