关于叶理变形的一个示性类
On a characteristic class associated with deformations of foliations
摘要：
本文研究叶理变形的一个示性类，称为Fuks-Lodder-Kotschick类（简称FLK类）。这似乎是未知的，如果有一个真正的叶理与非平凡FLK类。在这篇文章中，我们给出了一些条件来保证FLK类的平凡性。另一方面，我们证明了对于横观全纯叶理，FLK类很容易是非平凡的。我们提出了一个例子，并给出了一个建设，推广它。
英文摘要：
A characteristic class for deformations of foliations called the Fuks-Lodder-Kotschick class (FLK class for short) is studied. It seems unknown if there is a real foliation with non-trivial FLK class. In this article, we show some conditions to assure the triviality of the FLK class. On the other hand, we show that the FLK class is easily to be non-trivial for transversely holomorphic foliations. We present an example and give a construction which generalizes it.
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