N. Seto et al., NONLINEAR EVOLUTION OF THE GENUS STATISTICS IN THE ZELDOVICH APPROXIMATION, The Astrophysical journal. Supplement series, 110(2), 1997, pp. 177-189
Evolution of the genus density is calculated from Gaussian initial con
ditions using the Zeldovich approximation. A new approach is introduce
d that formulates the desired quantity in a rotationally invariant man
ner. It is shown that the normalized genus density does not depend on
the initial spectral shape but is a function of the fluctuation amplit
ude only.