The knot up there is called trefoil. You will certainly be happy to know that its Alexander polynomial is t2 - t + 1, and you will be delighted from the fact that the Seiberg-Witten invariant of its 0-surgery equals 1, in correspondence of the trivial class. I don't forget to reassure you that it is moreover a fibered knot (something that you certainly have noticed if you own a 3D browser). To obtain the same data for Sylvester The Cat requires more work (especially if the cat goes on moving). Getting to know this data is the main purpose of my research. This is why I study math.

Stefano Vidussi (picture courtesy of S.Friedl).

Department of Mathematics
University of California Riverside
Riverside, CA 92521 U.S.A.

E-mail:svidussi at ucr dot edu

Research

Double trouble

Twins in Prisinins

Tent

Take the "A" train

Twin A

Twin B

Charging