A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature

Martin Axel Blufstein, Elias Gabriel Minian

We prove that the $2$-complex associated to the presentation $⟨a,b\mid b,ba{b}^{-1}{a}^{-2}⟩$ has contracting non-positive immersions and positive maximal irreducible cur…