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• W2963076257 abstract "We relate the spectral flow to the index for paths of selfadjoint Breuer–Fredholm operators affiliated to a semifinite von Neumann algebra, generalizing results of Robbin–Salamon and Pushnitski. Then we prove the vanishing of the von Neumann spectral flow for the tangential signature operator of a foliated manifold when the metric is varied. We conclude that the tangential signature of a foliated manifold with boundary does not depend on the metric. In the Appendix we reconsider integral formulas for the spectral flow of paths of bounded operators." @default.
• W2963076257 created "2019-07-30" @default.
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• W2963076257 date "2011-03-01" @default.
• W2963076257 modified "2023-09-25" @default.
• W2963076257 title "SPECTRAL FLOW, INDEX AND THE SIGNATURE OPERATOR" @default.
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• W2963076257 doi "https://doi.org/10.1142/s1793525311000477" @default.
• W2963076257 hasPublicationYear "2011" @default.
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