[Topology.beta] Coming Tuesday 11-2-2025: Wout Moltmakers

[Rot, T.O. (Thomas)]

Dear all,

Coming Tuesday  we will have an AG with external speaker  Wout Moltmakers.


Quantum and Vassiliev Knotoid Invariants

Knotoids are a natural generalization of knots consisting of knot diagrams modelled on the interval rather than the circle. Knotoids have found applications in protein topology, but have proven difficult to classify even for low crossing numbers. In this talk I will define biframed knotoids, the proper knotoidal analogue for framed knots, and give two constructions of quantum invariants for biframed knotoids. I will show how these invariants can be used to improve slightly on the classification of planar knotoids, and that they give rise to Vassiliev invariants in analogy with the case of knots. Finally I will describe a combinatorial Kontsevich invariant for biframed spherical knotoids that constitutes a universal Vassiliev invariant.

Hope to see you there!

Best,
Thomas

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