Generalized Chern-Simons theory and skein relations in arbitrary dimensions
Generalized Montesinos knots, tunnels and N-torsion.
Generalized n-colorings of links
The notion of an (n,r)-coloring for a link diagram generalizes the idea of an n-coloring introduced by R. H. Fox. For any positive integer n the various (n,r)-colorings of a diagram for an oriented link l correspond in a natural way to the periodic points of the representation shift of the link. The number of (n,r)-colorings of a diagram for a satellite knot is determined by the colorings of its pattern and companion knots together with the winding number.
Generic immersions of curves, knots, monodry and Gordian number
Genus 2 Heegaard decompositions of small Seifert manifolds
The genus 2 Heegaard splittings and decompositions of Seifert manifolds over with 3 exeptional fibres are classified with respect to isotopies and homeomorphisms. In general there are 3 different isotopy classes of Heegaard splittings and 6 different isotopy classes of Heegaard decompositions. Moreover, we determine when a homeomorphism class is not an isotopy class.
Geodesic knots in the figure-eight knot complement.
Geodesic surfaces in knot complements.
Geometric invariants of link cobordism.
Geometric presentations of classical knot groups.
Geometric types of twisted knots
Let be a knot in the -sphere , and a disk in meeting transversely in the interior. For non-triviality we assume that over all isotopies of in . Let () be a knot obtained from by twistings along the disk . If the original knot is unknotted in , we call a twisted knot. We describe for which pair and an integer , the twisted knot is a torus knot, a satellite knot or a hyperbolic knot.
Geometrically fibred two-knots.
Geometry of fluid motion
We survey two problems illustrating geometric-topological and Hamiltonian methods in fluid mechanics: energy relaxation of a magnetic field and conservation laws for ideal fluid motion. More details and results, as well as a guide to the literature on these topics can be found in [3].
Geometry of links.
Geschlecht von Knoten mit zwei Brücken und die Faserbarkeit ihrer Außenräume.
Graph Cohomology, Colored Posets and Homological Algebra in Functor Categories
The homology theory of colored posets, defined by B. Everitt and P. Turner, is generalized. Two graph categories are defined and Khovanov type graph cohomology are interpreted as Ext* groups in functor categories associated to these categories. The connection, described by J. H. Przytycki, between the Hochschild homology of an algebra and the graph cohomology, defined for the same algebra and a cyclic graph, is explained from the point of view of homological algebra in functor categories.
Graphes planaires et présentations des groupes de tresses.
Group actions on fibered three-manifolds.