Notes for AKT-090915/0:33:12: Difference between revisions

Latest revision as of 14:46, 2 September 2011

Ideology of the class and philosophical comments:

* View knot theory as an algebraic structure. Why?

{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).

@@ Line 1: / Line 1: @@
-Ideology of the class and philosophical comments
+Ideology of the class and philosophical comments:
+: * View knot theory as an algebraic structure. Why?
+:# Be able to answer more sophisticated questions.
+:# Knot theory is finitely generated (if we use the right algebraic structure):
+:: {knot theory}<math>=\left\langle g_1,...,g_n| \; r_1, ...,r_m\right\rangle \longrightarrow</math> a good target space
+: * We will study polynomials on <math>\mathcal{K}</math> (the space of knots).