Special Issue: 2013 TAPU Workshop on Knot Theory and Related TopicsNo Access
Handlebody-knot invariants derived from unimodular Hopf algebras
Abstract
To systematically construct invariants of handlebody-links, we give a new presentation of the braided tensor category 
of handlebody-tangles by generators and relations, and prove that given what we call a quantum-commutative quantum-symmetric algebra A in an arbitrary braided tensor category 
, there arises a braided tensor functor 
, which gives rise to a desired invariant. Some properties of the invariants and explicit computational results are shown especially when A is a finite-dimensional unimodular Hopf algebra, which is naturally regarded as a quantum-commutative quantum-symmetric algebra in the braided tensor category 
of Yetter–Drinfeld modules.
AMSC: 57M27, 57M25, 57M15, 16T05
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Published: 5 August 2014
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