We introduce an integral transform on the space of hyperplanes applying Plancherel formula Radon to definition semiclassical Bargmann Euclidean space. This is similar and some basic facts microlocal analysis are also discussed.

In this short note, we show that a group acting geometrically on CAT(0) cube complex with virtually abelian hyperplane-stabilisers must decompose as free product of groups and surface groups.

We calculate the Hochschild dimension of quantum hyperplanes using the twisted Hochschild homology.

In this paper we study group actions on quasi-median graphs, or 'CAT(0) prism complexes', generalising the notion of CAT(0) cube complexes. We consider hyperplanes in a graph $X$ and define contact $\mathcal{C}X$ for these hyperplanes. show that is always quasi-isometric to tree, result Hagen, under certain conditions action $G \curvearrowright X$ induces an acylindrical \mathcal{C}X$, giving a...