关于Weil–Petersson拓扑的Epstein曲面间重正化体积的连续性
Continuity of the renormalised volume between Epstein surfaces with respect to the Weil--Petersson topology
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中文总结 AI 辅助
该研究证明了Weil–Petersson拟圆生成的两个Epstein曲面间的重正化体积关于Weil–Petersson拓扑连续，并推导得出通用Liouville作用量与该体积成正比。
中文摘要 AI 辅助
我们证明了由Weil–Petersson拟圆生成的两个Epstein曲面间的重正化体积关于Weil–Petersson拓扑是连续的，由此得出，对任意Weil–Petersson拟圆，通用Liouville作用量与该重正化体积成正比。
英文摘要
We prove that the renormalised volume between the two Epstein surfaces generated by a Weil--Petersson quasicircle is continuous with respect to the Weil--Petersson topology. As a consequence, we prove that the universal Liouville action is proportional to this renormalised volume for any Weil--Petersson quasicircle.
