17 citations · 162 across the 31 of their papers we have counts for
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A computational study of the number of connected components of positive Thompson links
Valeriano Aiello, Stefano Iovieno
Almost a decade ago Vaughan Jones introduced a method to produce knots from elements of the Thompson groups , which was later extended to the Brown-Thompson group . In this…
The planar -colorable subgroup of Thompson's group and its even part
Valeriano Aiello, Tatiana Nagnibeda
We study the planar -colorable subgroup of Thompson's group and its even part . The latter is obtained by cutting with a…
An introduction to Thompson knot theory and to Jones subgroups
Valeriano Aiello
We review a constructions of knots from elements of the Thompson groups due to Vaughan Jones, which comes in two flavours: oriented and unoriented.
On the Jones polynomial modulo primes
Valeriano Aiello, Sebastian Baader, Livio Ferretti
We derive an upper bound on the density of Jones polynomials of knots modulo a prime number , within a sufficiently large degree range: . As an application, we classify k…