A new construction of CAT(0) cube complexes

We introduce the notion of coupled link cube complex (CLCC) as a means constructing interesting cocompactly cubulated groups. CLCCs are defined locally, making them useful tool when precise control over links is required. In this paper we study some general properties CLCCs, such their (co)homological dimension and criteria for hyperbolicity. Some examples fundamental groups RAAGs, RACGs, surface manifold As immediate applications our produce number 3 4 manifolds with hyperbolic group.