Rank two affine submanifolds in H(2,2) and H(3,1)

作者:Aulicino David*; Duc Manh Nguyen
来源:Geometry and Topology, 2016, 20(5): 2837-2904.
DOI:10.2140/gt.2016.20.2837

摘要

We classify all rank two affine manifolds in strata in genus three with two zeros. This confirms a conjecture of Maryam Mirzakhani in these cases. Several technical results are proven for all strata in genus three, with the hope that they may shed light on a complete classification of rank two manifolds in genus three.

  • 出版日期2016