146 citations
- Hong Kong University of Science and TechnologyHK125 papers
- Michigan State UniversityUS125 papers
- Technion – Israel Institute of TechnologyIL125 papers
- University of ChicagoUS125 papers
- University of Hong KongHK125 papers
- University of WashingtonUS125 papers
- Alexandru Ioan Cuza UniversityRO124 papers
- Ankara UniversityTR124 papers
- Argonne National LaboratoryUS124 papers
- Aristotle University of ThessalonikiGR124 papers
- Azerbaijan National Academy of SciencesAZ124 papers
- Boğaziçi UniversityTR124 papers
5 papers · 1 filter
Chebyshev polynomials and the Frohman-Gelca formula
Hoel Queffelec, Heather M. Russell
Using Chebyshev polynomials, C. Frohman and R. Gelca introduce a basis of the Kauffman bracket skein module of the torus. This basis is especially useful because the Jones-Kauffman…
A reduced set of moves on one-vertex ribbon graphs coming from links
Susan Abernathy, Cody Armond, Moshe Cohen +5
Every link in R^3 can be represented by a one-vertex ribbon graph. We prove a Markov type theorem on this subset of link diagrams.
A twisted dimer model for knots
Moshe Cohen, Oliver T. Dasbach, Heather M. Russell
We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing so…
Traces on the skein algebra of the torus
Michael McLendon
For a surface , the Kauffman bracket skein module of , denoted , admits a natural multiplication which makes it an algebra. When specialized at a complex n…
Detecting torsion in skein modules using Hochschild homology
Michael McLendon
Given a Heegaard splitting of a closed 3-manifold, the skein modules of the two handlebodies are modules over the skein algebra of their common boundary surface. The zeroth Hochsch…