  We construct four series of modular categories from the two-variable 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 pre-modular categories. One of
them turns out to be modular and three others satisfy Brugui\`eres'
modularization criterion. For these four series we compute the Verlinde
formulas, and discuss spin and cohomological refinements.
