PLANAR ALGEBRAS AND KUPERBERG'S 3-MANIFOLD INVARIANT

PLANAR ALGEBRAS AND KUPERBERG'S 3-MANIFOLD INVARIANT

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...

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Veröffentlicht in:Journal of operator theory 2010-12, Vol.63 (1), p.159-180
Hauptverfasser: KODIYALAM, VIJAY, SUNDER, V.S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Cardinality
Diagrams
Numberings
Tensors
Vector spaces
Vertices
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Zusammenfassung: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.
ISSN:0379-4024
1841-7744