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arxiv: 1511.08055 · v1 · pith:KMRETD5Unew · submitted 2015-11-25 · 🧮 math.DS

Dynamical properties of the absolute period foliation

classification 🧮 math.DS
keywords absolutefoliationperiodabelianaffinedifferentialsdynamicalergodic
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We show that the absolute period foliation of the principal stratum of abelian differentials on a surface of genus at least 3 is ergodic. We also investigate the absolute period foliation of affine invariant manifolds.

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