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Hopf algebras of types which give rise to certain invariants of knots, links and 3-manifolds
Authors:Shlomo Gelaki  Sara Westreich
Institution:Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138 ; Interdisciplinary Department of the Social Science, Bar-Ilan University, Ramat-Gan, Israel
Abstract:

In this paper we determine when Lusztig's $U_q(sl_n)'$ has all the desired properties necessary to define invariants of knots, links and 3-manifolds. Specifically, we determine when it is ribbon, unimodular and factorizable. We also compute the integrals and distinguished elements involved.

Keywords:
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