# PREPRINT 14/1999

P. P. Kulish, A. M. Nikitin

## INVARIANTS OF B-TYPE LINKS VIA AN EXTENSION OF THE KAUFFMAN BRACKET

This preprint was accepted September , 1999
Contact: P. P. Kulish

ABSTRACT:
In this paper we find a method for constructing
solid torus (or: ${\bold B}$--type) link invariants
by means of extension of the Kauffman bracket
This method can be viewed as the combination of
the ideas proposed
in [5], [7] and [8]
with ${\bold B}$--type braid group theoretic
which is given in [18].
Such method is shown to be compatible with
skein relations of ${\bold B}$--type and leads
to state sum expression for link invariant
(in the case of the special diagrams).
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