Saul Schleimer and Henry Segerman
We are geometric topologists, and we are interested in visualising
knots, surfaces and three-manifolds. Prompted by this, we design 3D
printed models of these objects. This movie shows and explains some
of the relevant mathematics. Seifert surfaces are spanning surfaces
for knots, in a similar way to how soap films span wire loops. The
Seifert surfaces for torus knots have a beautiful representation as
the Milnor fibers of polynomial singularities.
We are geometric topologists, and we are interested in visualising
knots, surfaces and three-manifolds. Prompted by this, we design 3D
printed models of these objects. This movie shows and explains some
of the relevant mathematics. A mathematician's knot is a closed loop
in space. A torus knot is a knot that can be drawn on the surface of
a torus, i.e. a bagel. While both of our movies can be viewed
independently, this movie on torus knots describes some background
to the movie on Seifert surfaces.