CUHK MATH Torus Knots

Tie me up, Tie me down
 
Equivalence
Trefoil
Figure Eight
Whitehead
Trivial Knot
Perko Pairs
 
Classifications
Torus Knots
Alternating Knots
 
Invariants
Crossing number
Bridge number
Unknotting number
Tricolorability
Linking number
Polynomials

Torus Knots


2 views of the trefoil knot
The 2nd view actually runs around a torus. It runs twice around the torus horizontally and three times in the other direction. We call it a (2,3) torus knot.
An example of knot have
(p,q)=(2,5)
Guess the (p,q) of this knot!

Answer

Guess the (p,q) of this knot!

Answer


More Examples I would like to try other examples on classifications of knots.
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