标题： 博纳洪-黄-杨四孔球体积猜想 显示英文标题

标题： The Bonahon-Wong-Yang volume conjecture for the four-puncture sphere

摘要： 我们基于Checkov-Fock代数的表示理论，显式计算了四孔球面自微分同胚的Bonahon-Wong-Yang量子不变量。 作为计算的应用，我们在一些技术条件下验证了Bonahon-Wong-Yang提出的体积猜想对于四孔球面丛的情况。 结合单孔环面丛，这是第一个验证该猜想的例子，为该猜想提供了证据。 显示英文摘要

摘要： We compute the Bonahon-Wong-Yang quantum invariant for self-diffeomorphisms of the four-puncture sphere explicitly, based on the representation theory of the Checkov-Fock algebra. As an application of the computation, we verify the volume conjecture proposed by Bonahon-Wong-Yang for the four puncture sphere bundles with some technical conditions. Together with the one-puncture torus bundles, this is the first family of examples for which the conjecture is verified providing evidence for the conjecture