In this paper we show that any good toric contact manifold has well definedcylindrical contact homology and describe how it can be combinatoriallycomputed from the associated moment cone. As an application we compute thecylindrical contact homology of a particularly nice family of examples thatappear in the work of Gauntlett-Martelli-Sparks-Waldram on Sasaki-Einsteinmetrics. We show in particular that these give rise to a new infinite family ofnon-equivalent contact structures on $S^2 \times S^{3}$ in the unique homotopyclass of almost contact structures with vanishing first Chern class.
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机译：在本文中，我们证明了任何良好的复曲面接触流形都具有明确定义的圆柱接触同源性，并描述了如何从相关的矩锥组合计算。作为应用程序，我们计算了一个特别好的示例族的圆柱接触同源性，这些示例出现在Sasaki-Einsteinmetrics上的Gauntlett-Martelli-Sparks-Waldram的工作中。我们特别表明，在几乎消失的第一类Chern接触结构的唯一同伦类中，它们在$ S ^ 2 \ times ^ {3} $上产生了一个新的无限等价的非等效接触结构族。
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