arXiv:1308.2871 Abstract | arXiv Analytics

arXiv:1308.2871 [math.DS]Abstract References Reviews Resources

Some examples of isotropic SL(2,R)-invariant subbundles of the Hodge bundle

Carlos Matheus, Gabriela Weitze-Schmithuesen

Published 2013-08-13, updated 2014-08-14Version 3

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.

Comments: 19 pages, 7 figures. Final version based on the referee's report. To appear in Int. Math. Res. Not. (IMRN)

Categories: math.DS

Keywords: hodge bundle, moduli space admit non-trivial isotropic, space admit non-trivial isotropic sl, subbundles, corresponding sl

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