Dynamics of SL2(R) over moduli space in genus two

• 成果类型: Article
• 署名作者: McMullen, Curtis T.
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2007.165.397
• 发表日期: 2007
• 页码: 397-456
• 关键词: teichmuller-curves; quadratic-differentials; abelian differentials; measured foliations; SURFACES; billiards; transformations

摘要

This paper classifies orbit closures and invariant measures for the natural action of SL2(R) on Omega M-2, the bundle of holomorphic 1-forms over the moduli space of Riemann surfaces of genus two.