Periods of abelian differentials and dynamics
- Author(s): Kapovich, Michael
- et al.
Published Web Locationhttps://doi.org/10.1090/conm/744/14989
Given a closed oriented surface S we describe those cohomology classes which appear as the period characters of abelian differentials for some choice of complex structure on S consistent with the orientation. The proof is based upon Ratner's solution of Raghunathan's conjecture.