Forni subspace

E2192776 UNEXPLORED

The Forni subspace is a distinguished invariant subspace in the Hodge bundle over the moduli space of translation surfaces that captures the directions with zero Lyapunov exponents for the Kontsevich–Zorich cocycle, playing a key role in the study of deviations of ergodic averages.

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Forni subspace canonical 1

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Kontsevich–Zorich cocycle relatedTo Forni subspace