Three-Dimensional Genus Statistics of Galaxies in the SDSS Early Data Release

AbstractWe present the first analysis of three-dimensional genus statistics for the SDSSEDR galaxy sample. Due to the complicated survey volume and the selection func-tion, analytic predictions of the genus statistics for this sample are not feasible, there-fore we construct extensive mock catalogs from N-body simulations in order to com-pare the observed data with model predictions. This comparison allows us to evaluatethe effects of a variety of observational systematics on the estimated genus for theSDSS sample, including the shape of the survey volume, the redshift distortion effect,and the radial selection function due to the magnitude limit. The observed genus forthe SDSS EDR galaxy sample is consistent with that predicted by simulations of aΛ-dominated spatially-flat cold dark matter model. Standard (Ω 0 =1) cold dark mat-ter model predictions do not match the observations. We discuss how future SDSSgalaxy samples will yield improved estimates of the genus.Key words: cosmology: large-scale structure of universe — cosmology: observa-tions — galaxies: distances and redshifts — methods: statistical1

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