9 citations
- University of South FloridaUS12 papers
- Loyola Marymount UniversityUS3 papers
- University of South Florida St. PetersburgUS3 papers
- Chiba UniversityJP2 papers
- Brookhaven National LaboratoryUS1 paper
- Cotton (United States)US1 paper
- Kagoshima UniversityJP1 paper
- Nagoya Institute of TechnologyJP1 paper
- Universidad de Buenos AiresAR1 paper
- University of MichiganUS1 paper
- University of MississippiUS1 paper
27 papers
Knot Groups with Many Killers
Daniel S. Silver, Wilbur Whitten, Susan G. Williams
The group of any nontrivial torus knot, hyperbolic 2-bridge knot, or hyperbolic knot with unknotting number one contains infinitely many elements, none the automorphic image of ano…
On a Theorem of Burde and de Rham
Daniel S. Silver, Susan G. Williams
We generalize a theorem of Burde and de Rham characterizing the zeros of the Alexander polynomial. Given a representation of a knot group , we define an extension of , the Cr…
Alexander-Lin twisted polynomials
Daniel S. Silver, Susan G. Williams
X.S. Lin's original definition of twisted Alexander knot polynomial is generalized for arbitrary finitely presented groups. J. Cha's fibering obstruction theorem is generalized. Th…
Frobenius Modules and Essential Surface Cobordisms
J. Scott Carter, Masahico Saito
An algebraic system is proposed that represent surface cobordisms in thickened surfaces. Module and comodule structures over Frobenius algebras are used for representing essential…
Symmetric Extensions of Dihedral Quandles and Triple Points of Non-orientable Surfaces
J. Scott Carter, Kanako Oshiro, Masahico Saito
Quandles with involutions that satisfy certain conditions, called good involutions, can be used to color non-orientable surface-knots. We use subgroups of signed permutation matric…
Cocycle Deformations of Algebraic Identities and R-matrices
J. Scott Carter, Alissa Crans, Mohamed Elhamdadi +1
For an arbitrary identity L=R between compositions of maps L and R on tensors of vector spaces V, a general construction of a 2-cocycle condition is given. These 2-cocycles corresp…