3 papers
math.AT2019
Centrality measures in simplicial complexes: applications of Topological Data Analysis to Network Science
Daniel Hernández Serrano, Darío Sánchez Gómez
Many real networks in social sciences, biological and biomedical sciences or computer science have an inherent structure of simplicial complexes reflecting many-body interactions.…
cs.SI2019
Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science
Daniel Hernández Serrano, Juan Hernández Serrano, Darío Sánchez Gómez
Network Science provides a universal formalism for modelling and studying complex systems based on pairwise interactions between agents. However, many real networks in the social,…
math.AG2016
Topological recursion, topological quantum field theory and Gromov-Witten invariants of BG
Daniel Hernández Serrano
The purpose of this paper is to give a twisted version of the Eynard-Orantin topological recursion by a 2D Topological Quantum Field Theory. We define a kernel for a 2D TQFT and us…