Some Examples of Isotropic SL(2,R)-Invariant Subbundles of the Hodge Bundle

Carlos Matheus; Gabriela Weitze-Schmithüsen

doi:10.1093/imrn/rnu207

Some Examples of Isotropic SL(2,R)-Invariant Subbundles of the Hodge Bundle

Carlos Matheus
, Gabriela Weitze-Schmithüsen

University Paris 13
Institute of Meteorology and Climate Research

Research output: Contribution to journal › Article › peer-review

Abstract

We construct some examples of origamis (square-tiled surfaces) such that the Hodge bundles over the corresponding {\rm SL}(2,\mathbb {R})-orbits on the moduli space admit nontrivial isotropic {\rm SL}(2,\mathbb {R})-invariant subbundles. This answers a question posed to the authors by Eskin and Forni.

Original language	English
Pages (from-to)	8657-8679
Number of pages	23
Journal	International Mathematics Research Notices
Volume	2015
Issue number	18
DOIs	https://doi.org/10.1093/imrn/rnu207
Publication status	Published - 1 Jan 2015
Externally published	Yes

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title = "Some Examples of Isotropic SL(2,R)-Invariant Subbundles of the Hodge Bundle",

abstract = "We construct some examples of origamis (square-tiled surfaces) such that the Hodge bundles over the corresponding \{\textbackslash{}rm SL\}(2,\textbackslash{}mathbb \{R\})-orbits on the moduli space admit nontrivial isotropic \{\textbackslash{}rm SL\}(2,\textbackslash{}mathbb \{R\})-invariant subbundles. This answers a question posed to the authors by Eskin and Forni.",

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AB - We construct some examples of origamis (square-tiled surfaces) such that the Hodge bundles over the corresponding {\rm SL}(2,\mathbb {R})-orbits on the moduli space admit nontrivial isotropic {\rm SL}(2,\mathbb {R})-invariant subbundles. This answers a question posed to the authors by Eskin and Forni.

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JO - International Mathematics Research Notices

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Some Examples of Isotropic SL(2,R)-Invariant Subbundles of the Hodge Bundle

Abstract

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