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arXiv · 1501.04062

Infinite symmetric group and bordisms of pseudomanifolds

Alexander A. Gaifullin·Yury A. Neretin
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Abstract

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.

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BibTeXRIS

Alexander A. Gaifullin, Yury A. Neretin. 2015-01-16. Infinite symmetric group and bordisms of pseudomanifolds. https://doi.org/10.1142/s179352531850022x

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