Some examples of isotropic SL(2,R)-invariant subbundles of the Hodge bundle
arXiv:1308.2871
Abstract
We construct some examples of origamis (square-tiled surfaces) such that the Hodge bundles over the corresponding SL(2,R)-orbits on the moduli space admit non-trivial isotropic SL(2,R)-invariant subbundles. This answers a question posed to the authors by A. Eskin and G. Forni.
19 pages, 7 figures. Final version based on the referee's report. To appear in Int. Math. Res. Not. (IMRN)