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Postlude. A Universal Knot Invariant

  • Chapter
Quantum Groups

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 155))

Abstract

In Section 1 we present the concept of a knot invariant of finite type and prove that all quantum group invariants are of finite type. Then we con-struct a universal knot invariant Z(K) of finite type, with values in a com-mutative algebra built on pairs of points on a circle. We also show that the quantum group invariants of XVII.3 can be recovered from Z(K) in a sim-ple combinatorial way. The proof of this fact, as well as the construction of Z(K), use the formalism of the KZ-equations and Drinfeld’s results stated in XIX.4.

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Kassel, C. (1995). Postlude. A Universal Knot Invariant. In: Quantum Groups. Graduate Texts in Mathematics, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0783-2_20

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