Contact homology of good toric contact manifolds
Contact homology of good toric contact manifolds
复制标题
良好复曲面接触流形的接触同源性
DOI：
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发表时间：
2010
影响因子：
1.8
通讯作者：
Leonardo Macarini
中科院分区：
文献类型：
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作者：
M. Abreu;Leonardo Macarini
摘要本文证明了任何良好的环面接触流形都具有良好定义的圆柱接触同调性，并描述了如何从相关的矩锥组合计算出它。作为一种应用，我们计算了Gauntlett等人关于Sasaki-Einstein度量的工作中出现的一组特别好的例子的圆柱接触同调。特别地，我们证明了在具有消失的第一chen类的几乎接触结构的唯一同伦类中，在S2×S3上产生了一个新的无限非等效接触结构族。
Abstract In this paper we show that any good toric contact manifold has a well-defined cylindrical contact homology, and describe how it can be combinatorially computed from the associated moment cone. As an application, we compute the cylindrical contact homology of a particularly nice family of examples that appear in the work of Gauntlett et al. on Sasaki–Einstein metrics. We show in particular that these give rise to a new infinite family of non-equivalent contact structures on S2×S3 in the unique homotopy class of almost contact structures with vanishing first Chern class.