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Invariants of plane algebraic curves via representations of the braid groups

✍ Scribed by A. Libgober


Publisher
Springer-Verlag
Year
1989
Tongue
English
Weight
276 KB
Volume
95
Category
Article
ISSN
0020-9910

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πŸ“œ SIMILAR VOLUMES


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Quantized enveloping algebras U α’„ and their representations provide natural settings for the action of the corresponding braid groups. Objects of particular Ε½ . interest are the zero weight spaces of U α’„ -modules since they are stable under the Ε½ . braid group action. We show that for α’„ s ᒐ α’‰ there

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The Jones polynomial was originally defined by constructing a Markov trace on the sequence of Temperley-Lieb algebras. In this paper we give a programme for constructing other link invariants by the same method. The data for the constructions is a representation of the three string braid group.