Hopf algebras of types ?_ {?}(??_ {?})'and ?_ {?}(??_ {?})'which give rise to certain invariants of knots, links and 3-manifolds

Shlomo Gelaki; Sara Westreich

Hopf algebras of types ?_ {?}(??_ {?})'and ?_ {?}(??_ {?})'which give rise to certain invariants of knots, links and 3-manifolds

Department of Management

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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.

Original language	American English
Pages (from-to)	3821-3836
Journal	Transactions of the American Mathematical Society
Volume	352
Issue number	8
State	Published - 2000

Cite this

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AB - 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.

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JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

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Hopf algebras of types ?_ {?}(??_ {?})'and ?_ {?}(??_ {?})'which give rise to certain invariants of knots, links and 3-manifolds

Abstract

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