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}[math]\displaystyle{ =\left\langle g_1,...,g_n| \; r_1, ...,r_m\right\rangle \longrightarrow }[/math] a good target space

* We will study polynomials on [math]\displaystyle{ \mathcal{K} }[/math] (the space of knots).