Notes for AKT-090915/0:33:12

Ideology of the class and philosophical comments:

* View knot theory as an algebraic structure. Why?

1. Be able to answer more sophisticated questions.
2. Knot theory is finitely generated (if we use the right algebraic structure):

{knot theory}$=\left\langle g_{1},...,g_{n}|\;r_{1},...,r_{m}\right\rangle \longrightarrow$ a good target space

* We will study polynomials on ${\mathcal {K}}$ (the space of knots).