A note on holomorphic quadratic differentials on the unit disk

Guowu Yao

doi:10.2996/kmj/1458651692

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Home > Journals > Kodai Math. J. > Volume 39 > Issue 1 > Article

March 2016 A note on holomorphic quadratic differentials on the unit disk

Guowu Yao

Kodai Math. J. 39(1): 72-79 (March 2016). DOI: 10.2996/kmj/1458651692

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Abstract

Let Q(Δ) be the set of all integrable holomorphic quadratic differentials on the unit disk Δ. The subset Q₀(Δ) of Q(Δ) is the set associated with T₀ classes in the universal Teichmüller space T(Δ). In this paper, it is shown that Q₀(Δ) is dense in Q(Δ). The infinitesimal version is also obtained.

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Guowu Yao. "A note on holomorphic quadratic differentials on the unit disk." Kodai Math. J. 39 (1) 72 - 79, March 2016. https://doi.org/10.2996/kmj/1458651692