The Classification of Maps of Nonorietable Surfaces.
The classification of nonsimple algebraic tangles.
The classification of punctured-torus groups.
The classification of space groups.
The classiflcation of maps of surfaces.
The colored Jones function is -holonomic.
The colored Jones polynomials of the figure-eight knot and the volumes of three-manifolds obtained by Dehn surgeries
I describe how the colored Jones polynomials of the figure-eight knot determine the volumes of the three-manifolds obtained by Dehn surgeries along it, according to my joint work with Y. Yokota.
The concordance genus of knots.
The configuration space integral for links in .
The conjugacy problem for relatively hyperbolic groups.
The convex and concave decomposition of manifolds with real projective structures
The Conway potential function for links.
The co-rank conjecture for 3-manifold groups.
The coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras
We determine the coribbon structures of some finite dimensional braided Hopf algebras generated by 2×2-matrix coalgebras constructed by S. Suzuki. As a consequence, we see that such a Hopf algebra has a coribbon structure if and only if it is of Kac-Paljutkin type.
The covering semigroup of invariant control systems on Lie groups
It is well known that the class of invariant control systems is really relevant both from theoretical and practical point of view. This work was an attempt to connect an invariant systems on a Lie group with its covering space. Furthermore, to obtain algebraic properties of this set. Let be a Lie group with identity and a cone in the Lie algebra of that satisfies the Lie algebra rank condition. We use a formalism developed by Sussmann, to obtain an algebraic structure on the covering...
The Degree and Branch Set of a Branched Covering.
The determinant of oriented rotants
We study the determinant of pairs of rotants of Anstee, Przytycki and Rolfsen. We consider various notions of rotant orientations.
The diagrammatic Soergel category and -foams, for .
The disjoint curve property.
The dual braid monoid