Abstract
Non-abelian (topological) gauge theory of antisymmetric tensor field, so-calledBF-theory, is analysed from the point of view of its applications to description of topological invariants of higher-dimensional links. Topological matter multiplets, playing the role of physical observables, are introduced to measure linking phenomena in the target space of arbitrary dimension. The whole theory, as a highly on-shell reducible gauge system, is quantized in the framework of the formalism of Batalin and Vilkovisky. A monodromy matrix, giving rise to a skein relation, is derived in a manifestly covariant path-integral way. A relationship with quantum groups is also mentioned.
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