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Hopf algebras and invariants of 3-manifolds

โœ Scribed by Louis H. Kauffman


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
1020 KB
Volume
100
Category
Article
ISSN
0022-4049

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A version of Kirby calculus for spin and framed three-manifolds is given and is used to construct invariants of spin and framed three-manifolds in two situations. The first is ribbon V-categories which possess odd degenerate objects. This case includes the quantum group situations corresponding to t

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We give a structure theorem for pointed Hopf algebras of dimension p 3 , having coradical kC , where k is an algebraically closed field of characteristic zero. p Combining this with previous results, we obtain the complete classification of all pointed Hopf algebras of dimension p 3 .

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