Connected components of the moduli spaces of Abelian differentials with prescribed singularities

被引：308

作者：

Kontsevich, M

Zorich, A

机构：

[1] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

[2] Univ Rennes 1, Inst Math Rennes, F-35042 Rennes, France

来源：

INVENTIONES MATHEMATICAE | 2003年 / 153卷 / 03期

关键词：

D O I：

10.1007/s00222-003-0303-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider the moduli space of pairs (C, omega) where C is a smooth compact complex curve of a given genus and omega is a holomorphic 1-form on C with a given list of multiplicities of zeroes. We describe connected components of this space. This classification is important in the study of dynamics of interval exchange transformations and billiards in rational polygons, and in the study of geometry of translation surfaces.

引用

页码：631 / 678

页数：48

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