Planar algebras and Kuperberg's 3-manifold invariant

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We recapture Kuperberg's numerical invariant of 3-manifolds associated to a semisimple and cosemisimple Hopf algebra through a `planar algebra construction'. A result of possibly independent interest, used during the proof, which relates duality in planar graphs and Hopf algebras, is the subject of a final section.
19 pages, 9 figures

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Quantum Algebra, Operator Algebras, 57M27;16W30

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http://salesiana.dossiersoluciones.com/handle/123456789/76332

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509302
 http://arxiv.org/abs/math/0509302

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arXiv