Wild topology, hyperbolic geometry and fusion algebra of high energy particle physics (Q1610105)

The author of this interesting paper presents unsuspected connections between topology, geometry and abstract algebra on the one hand and high-energy particle physics on the other. It is shown that wildly embedded knot-like structures are variants of the \(\mathcal E\)\(^{\infty }\) theory and that they are deeply connected with hyperbolic geometry, four-dimensional fusion algebra, von Neumann-Connes geometry, Penrose spaces and Freedman theory of four manifolds. The paper is a perfect description of the wild topology. Coloured figures give a clear notion to the wild topology and how the topology is connected with geometry, abstract algebra and high-energy particle physics.