Thomas Fiedler

collaborators

3 papers

math.GT2026

A refined 1-cocycle for regular isotopies and the refined tangle equations

Thomas Fiedler

We refine the combinatorial 1-cocycle $L R_{r e g}$ for regular isotopies of long knots to a 1-cocycle with values in the free $Z [x, x^{- 1}]$ -module generated by regu…

math.GT2025

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 $I^$ be the topological moduli space of all ordered oriented tangles in 3-space. We…

math.GT2025

Quantum equations for knots

Thomas Fiedler, Butian Zhang

This paper contains linear systems of equations which can distinguish knots without knot invariants. Let $M_{n}$ be the topological moduli space of all n-component string links and s…