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Homology of Picture Groups of Type An

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CARW03 - Interdisciplinary applications of cluster algebras

For every quiver of finite representation type we define a finitely presentedgroup called a picture group. This group is very closely related to the cluster theory of the quiver. The picture group is derived from the semi-invariantpicture for the quiver. We use this picture to construct a finite CW complex which is a K(π, 1) for this group. In this talk I will describe computation of the cohomology ring of the picture groups of type An.

This talk is part of the Isaac Newton Institute Seminar Series series.

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