Genus statistics for structure formation with topological defects

I study the efficiency of genus statistics in differentiating between different models of structure formation. Simple models that reproduce the salient features of the structure that are seeded by topological defects are examined. I consider accretion onto static point masses, modeling slow-moving cosmic string loops or other primordial pointlike sources. Filamentary structures and wakes are considered as models of the structures seeded by slow-and fast-moving strings, respectively. The predictions of genus statistics for Gaussian fluctuations are compared to genus curves obtained by the CfA Redshift Survey. A generic class of density models with wakes and filaments is found to provide results comparable to or better than Gaussian models for this suite of tests.