ИСТИНА

Let $G$ be a direct product of 3 copies of an infinite symmetric group. We show that unitary reprtesentations of $G$ generate constructions in a spirit of topological field theories. We get a category whose objects are nonnegative integers and morphisms are compact triangulated surfaces with boundary colored in a special way. Product of morphisms is similar to the product of bordisms. Any unitary representation of $G$ produces a functor from this category to the category of Hilbert spaces and bounded operators. Morphisms from 0 to 0 are in one-to-one correspondence with Belyi data.