Higher Spectral Flow
Higher Spectral Flow
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DOI：
10.1006/jfan.1998.3273
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发表时间：
1996-08
影响因子：
1.7
通讯作者：
X. Dai;Weiping Zhang
中科院分区：
文献类型：
--
作者：
X. Dai;Weiping Zhang
对于一系列连续的Dirac型算子族，我们定义一个较高谱流为AK-群元。我们证明了这种更高的谱流可以用η形式来解析计算，并且与族指数的关系与谱流与指数的关系是相同的。我们引入了Toeplitz族的概念，并将它的指数与高阶谱流联系起来。文中还给出了对带边界流形的族指数的应用。
For a continuous curve of families of Dirac type operators we define a higher spectral flow as aK-group element. We show that this higher spectral flow can be computed analytically byη-forms and is related to the family index in the same way as the spectral flow is related to the index. We introduce a notion of Toeplitz family and relate its index to the higher spectral flow. Applications to family indices for manifolds with boundary are also given.