WebFeb 6, 2024 · We introduce the notion of cube complex with coupled link (CLCC) as a mean of constructing interesting CAT(0) cubulated groups. CLCCs are defined locally, making them a useful tool to use when precise control over the links is required. In this paper we study some general properties of CLCCs, such as their (co)homological dimension and … WebDec 26, 2024 · What is known regarding which hyperbolic groups are cubulated? I take it the usual definition of cubulated is acting properly and cocompactly on a CAT (0)-cube complex. My impression is that not all of them are, but I didn't manage to find references with a counterexample. Are there known ways to create non-cubulated hyperbolic …
Eduardo Oreg´on-Reyes - University of California, Berkeley
WebFeb 6, 2024 · We introduce the notion of cube complex with coupled link (CLCC) as a mean of constructing interesting CAT(0) cubulated groups. CLCCs are defined locally, making them a useful tool to use when ... WebApr 1, 2024 · Download Citation Relative cubulations and groups with a 2-sphere boundary We introduce a new kind of action of a relatively hyperbolic group on a $\text{CAT}(0)$ cube complex, called a ... csf oeste chapecó
Cocompact cubulations of mixed 3-manifolds – arXiv Vanity
Webis cocompactly cubulated if and only if V acts properly and cocompactly on Rn, the standard tiling of En by n-cubes. This assertion appears as [29, Lemma 16.12], where Wise deduces it ... Definition 2.1 (Hyperoctahedron). The zero-dimensional hyperoctahedron Q1 is the simplicial complex consisting of two non-adjacent 0-simplices. WebIn this paper, we prove that two cubic knots K1, K2 are isotopic if and only if one can pass from one to the other by a finite sequence of cubulated moves. These moves are analogous to the Reidemeister moves for classical tame knots. We use this fact WebDec 19, 2016 · However, 3-manifolds without non-positively curved Riemannian metrics cannot be cubulated by [PW18] and even if they can be cubulated, there are still 3-manifold groups that are not virtually ... dzone machine learning