5 citations · 28 across the 16 of their papers we have counts for
17 papers
Polynomial invariants which can distinguish the orientations of knots
Thomas Fiedler
This paper contains the first knot polynomials which can distinguish the orientations of classical knots and which make no excplicit use of the knot group. But they make extensive…
More 1-cocycles for classical knots
Thomas Fiedler
Let be the topological moduli space of long knots up to regular isotopy, and for any natural number let be the moduli space of all n-cables of framed…
A refinement of the first Vassiliev invariant can distinguish the orientation of knots
Thomas Fiedler
We refine the Polyak-Viro Gauss diagram formula for the Vassiliev invariant of order two in a very simple way for the 2-cable of a framed long knot. Surprisingly, the resulting iso…
One-cocycle invariants for closed braids
Thomas Fiedler
We introduce new polynomial isotopy invariants for closed braids. They are constructed as polynomial valued {\em Gauss diagram 1-cocycles} evaluated on the full rotation of the clo…
Knot polynomials from 1-cocycles
Thomas Fiedler
Let be the topological moduli space of all parallel n-cables of long framed oriented knots in 3-space. We construct in a combinatorial way for each natural number a 1-c…
Singularization of knots and closed braids
Thomas Fiedler
We construct the first combinatorial 1-cocycle with values in the -module of isotopy classes of singular long knots in 3-space with a signed planar double p…