The topological Dirac equation of networks and simplicial complexes
The topological Dirac equation of networks and simplicial complexes
Abstract We define the topological Dirac equation describing the evolution of a topological wave function on networks or on simplicial complexes. On networks, the topological wave function describes the dynamics of topological signals or cochains, i.e. dynamical signals defined both on nodes and on links. On simplicial complexes the wave …