Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral flow, index and the signature operator   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.

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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga