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1
Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-017-1616-1
Abstract: The universal Teichmüller space is an infinitely dimensional generalization of the classical Teichmüller space of Riemann surfaces. It carries a natural Hilbert structure, on which one can define a natural Riemannian metric, the Weil–Petersson metric.…
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Keywords:
weil petersson;
space;
teichm ller;
ller space ... See more keywords
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1
Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2016.10.026
Abstract: Abstract We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial.
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Keywords:
weil petersson;
moduli spaces;
mixing weil;
non exceptional ... See more keywords
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1
Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2020.107457
Abstract: We prove that any mapping torus of a pseudo-Anosov mapping class with bounded normalized Weil-Petersson translation length contains a finite set of transverse and level closed curves, and drilling out this set of curves results…
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Keywords:
translation length;
weil petersson;
length manifolds;
petersson translation ... See more keywords
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1
Published in 2022 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.165
Abstract: In this paper we consider two piecewise Riemannian metrics defined on the Culler–Vogtmann outer space which we call the entropy metric and the pressure metric. As a result of work of McMullen, these metrics can…
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Keywords:
petersson metric;
outer space;
weil petersson;
metrics outer ... See more keywords
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1
Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0039385
Abstract: The object under consideration in this article is the total volume V g, n( x1, …, x n) of the moduli space of hyperbolic surfaces of genus g with n boundary components of lengths x1,…
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Keywords:
asymptotic expansion;
petersson volume;
volume;
expansion ... See more keywords
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0
Published in 2019 at "Annales Academiae Scientiarum Fennicae Mathematica"
DOI: 10.5186/aasfm.2019.4413
Abstract: The Teichmüller space of a Riemann surface of analytically finite type has a complex structure modeled on the complex Hilbert space consisting of harmonic Beltrami differentials on the surface equipped with hyperbolic L-norm. The Weil–…
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Keywords:
ller space;
teichm ller;
petersson metric;
space ... See more keywords