Finite volume flows and Morse theory
Finite volume flows and Morse theory
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有限体积流量和莫尔斯理论
DOI：
10.2307/2661371
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发表时间：
2001
影响因子：
4.9
通讯作者：
Jr.
中科院分区：
文献类型：
--
作者：
F. R. Harvey;H. Lawson;Jr.
本文提出了一种基于de Rham-Federer电流理论的莫尔斯理论的新方法。完整的经典理论是以一种透明的方式推导出来的。这些方法一致地适用于等变和全纯设置。此外，这些方法比经典方法强得多，并且在几何上有有趣的应用。例如，它们导致了与束映射的特征形式和奇点相关的公式。
In this paper we present a new approach to Morse theory based on the de Rham-Federer theory of currents. The full classical theory is derived in a transparent way. The methods carry over uniformly to the equivariant and the holomorphic settings. Moreover, the methods are substantially stronger than the classical ones and have interesting applications to geometry. They lead, for example, to formulas relating characteristic forms and singularities of bundle maps.