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The \(\eta\)-invariant of mapping tori with finite monodromies - MaRDI portal

The \(\eta\)-invariant of mapping tori with finite monodromies (Q675084)

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scientific article; zbMATH DE number 987902
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The \(\eta\)-invariant of mapping tori with finite monodromies
scientific article; zbMATH DE number 987902

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    The \(\eta\)-invariant of mapping tori with finite monodromies (English)
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    7 July 1997
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    The \(\eta\)-invariant of mapping tori is defined by means of the spectrum of a certain elliptic operator. In this paper, the author gives a geometric interpretation of the deviation from the multiplicativity of the \(\eta\)-invariant for finite coverings. This is then applied to mapping tori with finite monodromies, and a simple formula of the \(\eta\)-invariant is obtained.
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    \(\eta\)-invariant
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    mapping tori
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    spectrum
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    elliptic operator
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