4 papers
The Jones and Alexander polynomials for singular links
T. Fiedler
We extend the state models for Jones and Alexander polynomials of classical links to state models of 2-variable polynomials in the case of singular links. Moreover, we extend both…
A link polynomial via a vertex-edge-face state model
Thomas Fiedler
We construct a 2-variable link polynomial, called , for classical links by considering simultaneously the Kauffman state models for the Alexander and for the Jones polynomials…
Knot polynomials via one parameter knot theory
Thomas Fiedler
We construct new knot polynomials. Let be the standard solid torus in 3-space and let be its standard projection onto an annulus. Let be the space of all smooth orient…
Global knot theory in F^2 x R
Thomas Fiedler
We introduce a special class of knots, called global knots, in F^2 x R and we construct new isotopy invariants, called T-invariants, for global knots. Some T-invariants are of fini…