The Weil–Petersson curvature operator on the universal Teichmüller space
Sign Up to like & getrecommendations! 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.… read more here.
Keywords: weil petersson; space; teichm ller; ller space ... See more keywords
On locally quasiconformal Teichmüller spaces
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DOI: 10.1007/s00229-020-01201-6
Abstract: We define a universal Teichmüller space for locally quasiconformal mappings whose dilatation grows not faster than a certain rate. We prove results of existence and uniqueness for extremal mappings in the generalized Teichmüller class. Further,… read more here.
Keywords: teichm ller; ller spaces; locally quasiconformal; quasiconformal teichm ... See more keywords
Teichmüller space theory and classical problems of geometric function theory
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DOI: 10.1007/s10958-021-05546-5
Abstract: Recently the author presented a new approach to solving the coefficient problems for holomorphic functions based on the deep features of Teichmüller spaces.It involves the Bers isomorphism theorem for Teichmüller spaces of punctured Riemann surfaces.… read more here.
Keywords: theory; teichm ller; ller space; classical problems ... See more keywords
Normality of algebras over commutative rings and the Teichmüller class. I.
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DOI: 10.1007/s40062-017-0174-2
Abstract: Let S be a commutative ring and Q a group that acts on S by ring automorphisms. Given an S-algebra endowed with an outer action of Q, we study the associated Teichmüller class in the… read more here.
Keywords: teichm ller; ller class; sigma; group ... See more keywords
Angle geometry in asymptotic Teichmüller spaces
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DOI: 10.1016/j.jmaa.2016.10.014
Abstract: Abstract The angular geometry of asymptotic Teichmuller spaces is studied. Although it has been proved that the angles between any two geodesic rays from the base point of A T ( X ) always exist,… read more here.
Keywords: asymptotic teichm; geometry asymptotic; teichm ller; ller spaces ... See more keywords
On QK-Teichmüller spaces
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DOI: 10.1016/j.jmaa.2018.07.029
Abstract: Abstract Recently, Wulan and Ye [36] introduced the Q K -Teichmuller spaces and proved some theorems about the theory of Q K -Teichmuller spaces. In this note, we continue to consider this theory and obtain… read more here.
Keywords: teichm ller; ller spaces; teichmuller spaces;
Angles in Teichmüller spaces
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DOI: 10.1016/j.jmaa.2020.123879
Abstract: Abstract We prove that, in any infinite dimensional or asymptotic Teichmuller space, the angles between Teichmuller geodesic rays issuing from a common point, defined by using the law of cosines, do not always exist. As… read more here.
Keywords: angles teichm; ller spaces; space; teichm ller ... See more keywords
ORBIFOLD POINTS ON PRYM–TEICHMÜLLER CURVES IN GENUS $4$
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DOI: 10.1017/s1474748017000196
Abstract: For each discriminant $D>1$ , McMullen constructed the Prym–Teichmüller curves $W_{D}(4)$ and $W_{D}(6)$ in ${\mathcal{M}}_{3}$ and ${\mathcal{M}}_{4}$ , which constitute one of the few known infinite families of geometrically primitive Teichmüller curves. In the present… read more here.
Keywords: ller; points prym; teichm ller; orbifold points ... See more keywords
Computation of the Taut, the Veering and the Teichmüller Polynomials
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DOI: 10.1080/10586458.2021.1985656
Abstract: Landry, Minsky and Taylor [LMT] introduced two polynomial invariants of veering triangulations - the taut polynomial and the veering polynomial. We give algorithms to compute these invariants. In their definition [LMT] use only the upper… read more here.
Keywords: taut veering; computation taut; ller polynomials; teichm ller ... See more keywords
Shimura–Teichmüller curves in genus 5
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DOI: 10.3934/jmd.2020009
Abstract: We prove that there are no Shimura-Teichm\"uller curves generated by genus five translation surfaces, thereby completing the classification of Shimura-Teichm\"uller curves in general. This was conjectured by M\"oller in his original work introducing Shimura-Teichm\"uller curves.… read more here.
Keywords: teichm ller; shimura teichm; teichm uller; teichm ... See more keywords
Smoothness and strongly pseudoconvexity of p-Weil–Petersson metric
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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–… read more here.
Keywords: ller space; teichm ller; petersson metric; space ... See more keywords