46 citations
- The University of Texas at AustinUS7 papers
- University of Notre DameUS2 papers
- Auburn UniversityUS1 paper
- Berry CollegeUS1 paper
- Brown UniversityUS1 paper
- Davidson CollegeUS1 paper
- Georgia Institute of TechnologyUS1 paper
- Grand Valley State UniversityUS1 paper
- Imperial College LondonGB1 paper
- Iowa State UniversityUS1 paper
- London School of Economics and Political ScienceGB1 paper
- Plymouth State UniversityUS1 paper
6 papers · 1 filter
Denominators and Differences of Boundary Slopes for (1,1)-Knots
Jason Callahan
We show that every nonzero integer occurs in the denominator of a boundary slope for infinitely many (1,1)-knots and that infinitely many (1,1)-knots have boundary slopes of arbitr…
Jørgensen Number and Arithmeticity
Jason Callahan
A Jørgensen group is a non-elementary Kleinian group that can be generated by two elements for which equality holds in Jørgensen's Inequality. This paper shows that the only torsio…
Conjugate Generators of Knot and Link Groups
Jason Callahan
This note shows that if two elements of equal trace (e.g., conjugate elements) generate an arithmetic two-bridge knot or link group, then the elements are parabolic. This includes…
Classification of Tangle Solutions for Integrases, A Protein Family that Changes DNA Topology
Dorothy Buck, Cynthia Verjovsky Marcotte
Integrase proteins acting on circular double-stranded DNA often change its topology by transforming unknotted circles into torus knots and links. Two systems of tangle equations--c…
Tangle Solutions for a Family of DNA-Rearranging Proteins
Dorothy Buck, Cynthia Verjovsky Marcotte
We study two systems of tangle equations that arise when modeling the action of the Integrase family of proteins on DNA. These two systems--direct and inverted repeats--correspond…
Strong S-equivalence of ordered links
Carol Gwosdz Gee
Recently Swatee Naik and Theodore Stanford proved that two S-equivalent knots are related by a finite sequence of doubled-delta moves on their knot diagrams. We show that classical…