Of Torus and Turk's-Head Knots: A Polar Trigonometric Modeling
On 10-crossing knots
On 3-manifold invariants arising from finite-dimensional Hopf algebras.
On 3-Manifolds with Finite Solvable Fundamental Groups.
On 4-fold covering moves.
On a certain move generating link-homology.
On a class of spaces for which the fixed-point property is characterized by homology groups
On a Conjecture of Magnus on the Hurwitz Monodromy Group.
On a covering group theorem and its applications.
On a problem in effective knot theory
The following problem is investigated: «Find an elementary function such that if is a knot diagram with crossings and the corresponding knot is trivial, then there is a sequence of Reidemeister moves that proves triviality such that at each step we have less than crossings». The problem is shown to be equivalent to a problem posed by D. Welsh in [7] and solved by geometrical techniques (normal surfaces).
On a problem of S. Ulam concerning Cartesian squares of 2-dimensional polyhedra
On a proof of the JSJ theorem.
On a relation between torsion numbers and Alexander matrix of a knot
On a secondary invariant of the hyperelliptic mapping class group
We discuss relations among several invariants of 3-manifolds including Meyer's function, the η-invariant, the von Neumann ρ-invariant and the Casson invariant from the viewpoint of the mapping class group of a surface.
On a simple invariant of Turaev-Viro type
On a theorem of Kontsevich.
On aspherical presentations of groups.
On Asymptotic Cones and Quasi-isometry Classes of Fundamental Groups of 3-manifolds.
On bilinear biquandles
We define a type of biquandle which is a generalization of symplectic quandles. We use the extra structure of these bilinear biquandles to define new knot and link invariants and give some examples.
On boundary slopes of immersed incompressible surfaces
Let be a compact, orientable, irreducible 3-manifold with a torus. We show that there can be infinitely many slopes on realized by the boundary curves of immersed, incompressible, - incompressible surfaces in which are embedded in a neighborhood of .