Estimates of the Bergman kernel on Teichmuller space

Abstract

In this paper, a comparison between the Bergman kernel form and the pushforward measure of the Masur-Veech meaure on the Teichmuller space of genus $g\ge 2$ is obtained.

11 pages, This is the second version of this paper. We revise typos and the proof of Lemma 4.1 (for readably)