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math.QA2005★ 1 cited
Planar algebras and Kuperberg's 3-manifold invariant
Vijay Kodiyalam, V. S. Sunder
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 i…
math.QA2005
Subfactors and 1+1-dimensional TQFTs
Vijay Kodiyalam, Vishwambhar Pati, V. S. Sunder
We construct a certain `cobordism category' whose morphisms are suitably decorated cobordism classes between similarly decorated closed oriented 1-manifolds, and show th…
math.QA2005
The planar algebra of a semisimple and cosemisimple Hopf algebra
Vijay Kodiyalam, V. S. Sunder
To a semisimple and cosemisimple Hopf algebra over an algebraically closed field, we associate a planar algebra defined by generators and relations and show that it is a connected,…