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 for such links. This method can be viewed as the combination of the ideas proposed in [5], [7] and [8] with ${\bold B}$--type braid group theoretic approach to solid torus links 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). \smallskip \advance \parindent by 3mm \noindent {\bf Bibliography}--29 titles \smallskip \advance \parindent by 3mm \noindent {\bf Key words and phrases:} Kauffman bracket, solid torus links, Markov trace.[ Full text: (.ps.gz)]