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Planar algebras and Kuperberg's 3-manifold invariant

Vijay Kodiyalam·V. S. Sunder
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Abstract

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.

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BibTeXRIS

Vijay Kodiyalam, V. S. Sunder. 2005-09-14. Planar algebras and Kuperberg's 3-manifold invariant. https://arxiv.org/abs/math/0509302

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