ar X iv : d g - ga / 9 60 80 02 v 1 8 A ug 1 99 6 Higher Spectral Flow ∗
نویسندگان
چکیده
For a continuous curve of families of Dirac type operators we define a higher spectral flow as a K-group element. We show that this higher spectral flow can be computed analytically by η̂-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.
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