AKT-09/Navigation: Difference between revisions

Revision as of 18:19, 28 September 2009

#	Week of...	Videos, Notes, and Links
1	Sep 7	About This Class 090910-1: 3-colourings, Reidemeister's theorem, invariance, the Kauffman bracket. 090910-2: R23 invariance of the bracket, R1, the writhe, the Jones polynomial, programming the Jones polynomial. Tricolourability
2	Sep 14	090915: More on Jones, some pathologies and more on Reidemeister, our overall agenda. 090917-1: The definition of finite type, weight systems, Jones is a finite type series. 090917-2: The skein relation for Jones; HOMFLY-PT and Conway; the weight system of Jones.
3	Sep 21	090922: FI, 4T, HOMFLY and FI and 4T, statement of the Fundamental Theorem, framed knots. 090924-1: Some dimensions of ${\mathcal {A}}_{n}$ , ${\mathcal {A}}$ is a commutative algebra, ${\mathcal {A}}(\bigcirc )\equiv {\mathcal {A}}(\uparrow )$ . Class Photo 090924-2: ${\mathcal {A}}$ is a co-commutative algebra, the relation with products of invariants, ${\mathcal {A}}$ is a bi-algebra.
4	Sep 28	HW1
5	Oct 5
6	Oct 12	HW2
7	Oct 19
8	Oct 26	HW3
9	Nov 2
10	Nov 9	HW4 No Thursday class.
11	Nov 16
12	Nov 23	HW5
13	Nov 30
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