Persistent homology in cosmic shear II: A tomographic analysis of DES-Y1

Understand

We demonstrate how to use persistent homology for cosmological parameter inference in a tomographic cosmic shear survey.

• We obtain the first cosmological parameter constraints from persistent homology by applying our method to the first-year data of the Dark Energy Survey.
• To obtain these constraints, we analyse the topological structure of the matter distribution by extracting persistence diagrams from signal-to-noise maps of aperture masses.
• This presents a natural extension to the widely used peak count statistics.