The topology of weak lensing field in the neighborhood of MS1054-03
  We report the first measurement of genus curves for the two-dimensional mass map in the neighborhood of rich, X-ray luminous galaxy cluster MS1054-03 at z=0.83, reconstructed from weak lensing data obtained by Suprime-Cam on the prime focus of 8.2m Subaru telescope. We find that the genus curve measured in the whole survey field deviates from that expected from a random Gaussian field. We show that this non-Gaussianity is induced by the rich cluster in this region, and that the genus curve for the region without the cluster is consistent with the prediction for a random Gaussian field. The results demonstrate the feasibility of the genus statistics to examine the non-Gaussianity due to the large scale structures and to probe the statistical properties of the large scale clustering. 
Jun'ichi Sato (1), Keiichi Umetsu (2), Toshifumi Futamase (1) and Toru   Yamada (3) ((1) Tohoku University, (2) Institute of...