%0 Journal Article %T Infinite symmetric group and bordisms of pseudomanifolds %A Alexander A. Gaifullin %A Yury A. Neretin %J Mathematics %D 2015 %I arXiv %X We consider a category whose morphisms are bordisms of $n$-dimensional pseudomanifolds equipped with a certain additional structure (coloring). On the other hand, we consider the product $G$ of $(n+1)$ copies of infinite symmetric group. We show that unitary representations of $G$ produce functors from the category of $(n-1)$-dimensional bordisms to the category of Hilbert spaces and bounded linear operators. %U http://arxiv.org/abs/1501.04062v1