Numeric Invariants from Multidimensional Persistence

Abstract

We extend the results of Adcock, Carlsson, and Carlsson by constructing numeric invariants from the computation of a multidimensional persistence module as given by Carlsson, Singh, and Zomorodian.Comment: v1. initial upload. v2. fixed typos and rephrased sentence in introduction. v3. updated parameterization of rectangular persistence module