The Topology of Weak Lensing Fields

Abstract

The topology of weak lensing fields is studied using the 2-dimensional genus statistic. Simulated fields of the weak lensing convergence are used to focus on the effect of nonlinear gravitional evolution and to model the statistical errors expected in observational surveys. For large smoothing angles, the topology is in agreement with the predictions from linear theory. On smoothing angles smaller than 10', the genus curve shows the non-Gaussian signatures of gravitational clustering and differs for open and flat cold dark matter models. Forthcoming surveys with areas larger than 10 square degrees should have adequate signal-to-noise to measure the non-Gaussian shape and the $\Omega$-dependence of the genus statistic.

6 pages, 3 figures, to be published in ApJL (vol. 552)

References in corpus (4)

• Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales
• Noise properties of gravitational lens mass reconstruction
• Statistics of Dark Matter Halos from Gravitational Lensing
• Numerical Simulations of Weak Lensing Measurements

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• Denoising Weak Lensing Mass Maps with Deep Learning
• Non-Gaussianity in Large Scale Structure and Minkowski Functionals
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• Probing Modified Gravity Theories with ISW and CMB Lensing
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• Higher order statistics of shear field: a machine learning approach
• Probing Primordial Non-Gaussianity with Weak Lensing Minkowski Functionals
• Cosmological Parameter Estimation Using the Genus Amplitude - Application to Mock Galaxy Catalogs
• Effect of Mask Regions on Weak Lensing Statistics
• Cosmological constraints using Minkowski functionals from the first year data of the Hyper Suprime-Cam
• Two-dimensional Topology of Cosmological Reionization
• Topology of Large-Scale Structures of Galaxies in Two Dimensions - Systematic Effects
• Morphology of Weak Lensing Convergence Maps
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• The effect of primordial non-Gaussianity on the skeleton of cosmic shear maps
• The topology of weak lensing field in the neighborhood of MS1054-03
• On the effect of projections on convergence peak counts and Minkowski functionals