4 citations · 10 across the 4 of their papers we have counts for
5 papers
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…
Exceptional Slopes on Manifolds of Small Complexity
Fionntan Roukema
It has been observed that most manifolds in the Callahan-Hildebrand-Weeks census of cusped hyperbolic -manifolds are obtained by surgery on the minimally twisted 5-chain link. A…
Exceptional Dehn surgery on the minimally twisted five-chain link
Bruno Martelli, Carlo Petronio, Fionntan Roukema
We consider in this paper the minimally twisted chain link with 5 components in the 3-sphere, and we analyze the Dehn surgeries on it, namely the Dehn fillings on its exterior M5.…
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…
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…