07-1352/Class Notes for January 30

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In Preparation

The information below is preliminary and cannot be trusted! (v)

Tentative Future Plans

Today

  • A discussion of grading policy.
  • A bit more about quotients, and especially, some discussion of The HOMFLY Braidor Algebra.
  • Ng's no-go theorem for ribbon knots (arXiv:q-alg/9502017 and arXiv:math.GT/0310074) and the no-go theorems we still don't have (and with a lot of luck, we'll never have) about the fusion number, the unknotting number and the genus.

The Following Two Weeks

References

[Le_Murakami_97] ^  T. Q. T. Le and J. Murakami, Parallel Version of the Universal Vassiliev-Kontsevich Invariant, Journal of Pure and Applied Algebra 121 (1997) 271-291.

[Murakami_Ohtsuki_97] ^  J. Murakami and T. Ohtsuki, Topological Quantum Field Theory for the Universal Quantum Invariant, Communications in Mathematical Physics 188-3 (1997) 501-520.