University of Cambridge > > Junior Geometry Seminar > Knot projections in 3-manifolds other than the 3-sphere

Knot projections in 3-manifolds other than the 3-sphere

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  • UserAdele Jackson, University of Oxford
  • ClockFriday 11 March 2022, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Macarena Arenas.

Knot projections for knots in the 3-sphere allow us to easily describe knots, compute invariants, enumerate all knots, manipulate them under Reidemeister moves and feed them into a computer. One might hope for a similar representation of knots in general 3-manifolds. We will survey properties of knots in general 3-manifolds and discuss a proposed diagram-esque representation of them, in which there are no crossings.

This talk is part of the Junior Geometry Seminar series.

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