AKT-17/Navigation

Back to AKT-17.

#	Week of...	Notes and Links
1	Jan 9	Tuesday Hour 1: Course introduction as in About This Class (pdf, html).  Tuesday Hour 2: The Jones polynomial via the Kauffman bracket, following 170110-JonesPoly.nb (pre-class: pdf, nb; post-class: pdf, nb).  Friday: Knots, algebras, Yang-Baxter, CYBE, Lie algebras, universal enveloping algebras, formulas.
2	Jan 16	Tuesday Hour 1: More on the Jones polynomial via the Kauffman bracket, following 170117-MoreJones.nb (pre-class: pdf, nb; post-class: pdf, nb).  Tuesday Hour 2: Continuation, 170117-FastSlowRace.nb (pre-class: pdf, nb; post-class: pdf, nb), knot genus.  Friday: The Lie algebra ${\mathfrak {g}}_{0}$ following 170120-g0.nb (pre-class: pdf, nb; post-class: pdf, nb).
3	Jan 23	Tuesday Hour 1: Tangles and meta-monoids.  Tuesday Hour 2: The fundamental group, meta-Hopf algebras, algebraic knot theory.  Friday: The Lie algebra ${\mathfrak {g}}_{0}$ following 170127-g0.nb (pre-class: pdf, nb; post-class: pdf, nb). Class Photo.
4	Jan 30	Tuesday Hour 1: Tangles, links, and 3-manifolds.  Tuesday Hour 2: Genus, ribbon, slice.  Friday: Normal orderings following 170203-g0dsO.nb (pre-class: pdf, nb; post-class: pdf, nb).
5	Feb 6	Tuesday Hour 1: $\Gamma$-calculus following 170207-GammaCalculus.nb (pre-class: pdf, nb; post-class: pdf, nb), part I.  Tuesday Hour 2: $\Gamma$-calculus following 170207-GammaCalculus.nb (pre-class: pdf, nb; post-class: pdf, nb), part II.  Friday: The main ${\mathfrak {g}}_{0}$ theorem following 170210-g0MainTheorem.nb (pre-class: pdf, nb; post-class: pdf, nb).
6	Feb 13	Tuesday Hour 1: Expansions in general; also using 170214-ProgressiveScanning.nb (pre-class: pdf, nb; post-class: pdf, nb).  Tuesday Hour 2: Expansions for tangles, finite type invariants.  Friday: Computing the ${\mathfrak {g}}_{0}$ invariant following 170217-g0Invariant.nb (pre-class: pdf, nb; post-class: pdf, nb).
R	Feb 20	Reading Week.
7	Feb 27	Tuesday Hour 1: Expansions and the fundamental theorem for ${\mathcal {K}}^{u}$.  Tuesday Hour 2: Algebraic structures on ${\mathcal {A}}^{u}$.  Friday: Conclusion of the ${\mathfrak {g}}_{0}$ discussion following 170303-g0LemmaAndInvariant.nb (pre-class: pdf, nb; post-class: pdf, nb).
8	Mar 6
9	Mar 13	Monday is the last day to drop this class.
10	Mar 20
11	Mar 27
12	Apr 3	Semester ends Wednesday, yet we may hold a Friday class.
Add your name / see who's in!
Dror's Notebook