4 citations · 6 across the 2 of their papers we have counts for
3 papers
math.GT2017
On hyperbolic knots in S^3 with exceptional surgeries at maximal distance
Benjamin Audoux, Ana G. Lecuona, Fionntan Roukema
Baker showed that 10 of the 12 classes of Berge knots are obtained by surgery on the minimally twisted 5-chain link. In this article we enumerate all hyperbolic knots in S^3 obtain…
math.GT2009★ 2 cited
Some Dimensions of Spaces of Finite Type Invariants of Virtual Knots
Dror Bar-Natan, Iva Halacheva, Louis Leung +1
We compute many dimensions of spaces of finite type invariants of virtual knots (of several kinds) and the dimensions of the corresponding spaces of "weight systems", finding every…
math.GT2007★ 4 cited
Goussarov-Polyak-Viro combinatorial formulas for finite type invariants
Fionntan Roukema
Goussarov, Polyak, and Viro proved that finite type invariants of knots are ``finitely multi-local'', meaning that on a knot diagram, sums of quantities, defined by local informati…