Modular categories of types B,C and D
Abstract
We construct four series of modular categories from the twovariable Kauffman polynomial, without use of the representation theory of quantum groups at roots of unity. The specializations of this polynomial corresponding to quantum groups of types B, C and D produce series of premodular categories. One of them turns out to be modular and three others satisfy Bruguières' modularization criterion. For these four series we compute the Verlinde formulas, and discuss spin and cohomological refinements.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2000
 arXiv:
 arXiv:math/0006227
 Bibcode:
 2000math......6227B
 Keywords:

 Quantum Algebra
 EPrint:
 32 pages, LaTeX with figures, Comment. Math. Helv. 2001