Equivalences for Morse homology
Equivalences for Morse homology
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莫尔斯同调的等价
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
M. Schwarz
中科院分区：
文献类型：
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作者：
M. Schwarz
利用伪圈技术构造了莫尔斯同调与奇异同调之间的显式同构。给定一个莫尔斯圈作为一个莫尔斯函数的临界点的形式和，负梯度流的不稳定流形以适当的方式被紧化，使得适当地粘合它们导致一个伪圈和一个定义良好的奇异同调积分同调类。
An explicit isomorphism between Morse homology and singular homology is constructed via the technique of pseudo-cycles. Given a Morse cycle as a formal sum of critical points of a Morse function, the unstable manifolds for the negative gradient flow are compactified in a suitable way, such that gluing them appropriately leads to a pseudo-cycle and a well-defined integral homology class in singular homology.