1 citations · 1 across the 4 of their papers we have counts for
4 papers
A refined 1-cocycle for regular isotopies and the refined tangle equations
Thomas Fiedler
We refine the combinatorial 1-cocycle for regular isotopies of long knots to a 1-cocycle with values in the free -module generated by regu…
Quantum equations for knots
Thomas Fiedler, Butian Zhang
This paper contains linear systems of equations which can distinguish knots without knot invariants. Let be the topological moduli space of all n-component string links and s…
The tangle-valued 1-cocycle for knots
Thomas Fiedler
This paper contains the strongest and at the same time most calculable knot invariant ever. Let be the topological moduli space of all ordered oriented tangles in 3-space. We c…
Recognizing trace graphs of closed braids
T. Fiedler, V. Kurlin
To a closed braid in a solid torus we associate a trace graph in a thickened torus in such a way that closed braids are isotopic if and only if their trace graphs can be related by…