5 citations · 15 across the 8 of their papers we have counts for
9 papers · 1 filter
Quantum one-cocycles for knots
Thomas Fiedler
We give a method to construct non symmetric solutions of a global tetrahedron equation from solutions of the Yang-Baxter equation. The solution in the HOMFLYPT case gives rise to t…
There are non homotopic framed homotopies of long knots
Thomas Fiedler
Let be the space of all, including singular, long knots in 3-space and for which a fixed projection into the plane is an immersion. Let be the…
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…
Isotopy invariants for closed braids and almost closed braids via loops in stratified spaces
Thomas Fiedler
Let be the natural projection. An oriented knot is called an almost closed braid if the restriction of to K has e…