%0 Journal Article %T Canonical sections of Hodge bundles on moduli spaces %J Journal of the Iranian Mathematical Society %I Iranian Mathematical Society %Z 2717-1612 %A Liu, K. %A Shen, Y. %D 2020 %\ 01/01/2020 %V 1 %N 1 %P 97-115 %! Canonical sections of Hodge bundles on moduli spaces %K CANONICAL SECTIONS %K HODGE BUNDLES %K MODULI SPACES %R 10.30504/jims.2020.104186 %X We review recent works in [K. Liu, S. Rao, and X. Yang, Quasi-isometry and deformations of Calabi Yau manifolds, Inventiones mathematicae, 199(2) (2015),  423–453] and [K. Liu and Y. Shen, Moduli spaces as ball quotients I, local theory, preprint] on geometry of sections of Hodge bundles and their applications to moduli spaces. %U https://jims.ims.ir/article_104186_5aeacde0efd83615df987f55d36727c2.pdf