THE DIMENSION OF THE TORELLI GROUP

摘要

We would like to thank Ken Bromberg for many discussions on Teichmuller theory. We are also grateful to Tara Brendle, Benson Farb, Allen Hatcher, Chris Leininger, Justin Malestein, Andy Putman, Takuya Sakasai, Karen Vogtmann,and the referee for helpful comments and conversations. We would especially like to thank Tom Church for extensive discussions related to Lemma 6.16. The third author would like to thank the University of Utah for its support during this project.