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The universal eta-invariant for manifolds with boundary

We extend the theory of the universal eta-invariant to the case of relative bordism groups of manifolds with boundaries. This allows the construction of secondary descendants of the universal eta-invariant. We obtain an interpretation of Laures' f-invariant as an example of this general construction. As an aside we improve a recent result of Han-Zhang on the modularity of a certain power series of eta invariants.

preprint2014arXivOpen access
Ulrich Bunke
math.ATmath.KTmath.DG
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Ulrich Bunke

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