Quantum Topology Seminar
Thomas Fiedler
Institut de Mathématiques de Toulouse
One-cocycles and knot isotopies
Abstract: We construct two 1-cocycles in a moduli space for long knots.
One of them is used to obtain non-trivial information about Reidemeister moves of type III in regular isotopies of long knots.
The other 1-cocycle is used for distinguishing the orientations of knots, in particular of the knot 8_17.
Thursday January 5, 2023 at 12:00 PM in Zoom