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math.CV2020
Estimates of the Bergman kernel on Teichmuller space
Guangming Hu, Hideki Miyachi
In this paper, a comparison between the Bergman kernel form and the pushforward measure of the Masur-Veech meaure on the Teichmuller space of genus is obtained.
math.CV2020
Tangent spaces of the Teichm{ü}ller space of the torus with Thurston's weak metric
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we show that the analogue of Thurston's asymmetric metric on the Teichm{ü}ller space of flat structures on the torus is weak Finsler and we give a geometric descript…
math.GT2020
Universal commensurability augmented Teichmüller space and moduli space
Guangming Hu, Hideki Miyachi, Yi Qi
It is known that every finitely unbranched covering of a compact Riemann surface with genus induces an isometric embedding …