On the equivariant formality of K?hler manifolds with torus group actions

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• 作者：Laura Scull
• 关键词：Mathematics Subject Classification (2000) Primary 55P91 ; Primary 55P62 ; Secondary 32Q15
• 刊名：Mathematische Zeitschrift
• 出版年：2007
• 出版时间：November, 2007
• 年：2007
• 卷：257
• 期：3
• 页码：547-562
• 全文大小：265 KB

文摘

We consider simply connected compact K?hler manifolds which have a holomorphic action of a torus group. We use the existing equivariant models for rational homotopy to show that these spaces satisfy an equivariant formality condition over the complex numbers.