Persistent homology in cosmic shear

We demonstrate how to use persistent homology for cosmological parameter inference in a tomographic cosmic shear survey. obtain the first constraints from by applying our method first-year data of Dark Energy Survey. To these constraints, we analyse topological structure matter distribution extracting persistence diagrams signal-to-noise maps aperture masses. This presents natural extension widely used peak count statistics. Extracting cosmo-SLICS, suite N -body simulations with variable parameters, interpolate signal using Gaussian processes and marginalise over most relevant systematic effects, including intrinsic alignments baryonic effects. For growth parameter, find S 8 = 0.747 −0.031 +0.025 , which is full agreement other late-time probes. also constrain alignment A 1.54 ± 0.52, constitutes detection effect at almost 3 σ .