We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Symplectic and isometric SL(2,R)-invariant subbundles of the Hodge bundle.
- Authors
Avila, Artur; Eskin, Alex; Möller, Martin
- Abstract
Suppose N is an affine SL(2,R)-invariant submanifold of the moduli space of pairs (M,ω), where M is a curve, and ω is a holomorphic 1-form on M. We show that the Forni bundle of N (i.e. the maximal SL(2,R)-invariant isometric subbundle of the Hodge bundle of N) is always flat and is always orthogonal to the tangent space of N. As a corollary, it follows that the Hodge bundle of N is semisimple.
- Subjects
AFFINAL relatives; HOLOMORPHIC functions; SYMPLECTIC spaces; SYMPLECTIC groups; MATHEMATICAL complex analysis
- Publication
Journal für die Reine und Angewandte Mathematik, 2017, Vol 2017, Issue 732, p1
- ISSN
0075-4102
- Publication type
Article
- DOI
10.1515/crelle-2014-0142