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arXiv · 1403.2030

The universal eta-invariant for manifolds with boundary

Ulrich Bunke
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Abstract

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.

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Ulrich Bunke. 2014-03-09. The universal eta-invariant for manifolds with boundary. https://arxiv.org/abs/1403.2030

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