The Topology of Weak Lensing Fields

Details The Topology of Weak Lensing Fields The Topology of Weak Lensing Fields

2000-09-26

arxiv.org/abs/astro-ph/0009402v2

Astronomy and Astrophysics

Astrophysics

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

Scientific paper

10.1086/320327

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.

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