%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