Abstract
This paper describes the intrinsic geometry of a leaf of the absolute period foliation of the Hodge bundle : its singular Euclidean structure, its natural foliations, and its discretized Teichmüller dynamics. We establish metric completeness of for general and then turn to a study of the case . In this case the Euclidean structure comes from a canonical meromorphic quadratic differential on whose zeros, poles, and exotic trajectories are analyzed in detail.
Citation
Curtis T. McMullen. "Moduli spaces of isoperiodic forms on Riemann surfaces." Duke Math. J. 163 (12) 2271 - 2323, 15 September 2014. https://doi.org/10.1215/00127094-2785588
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