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arxiv: 1403.2030 · v3 · pith:QGUBUFR2new · submitted 2014-03-09 · 🧮 math.AT · math.DG· math.KT

The universal eta-invariant for manifolds with boundary

Ulrich Bunke This is my paper
classification 🧮 math.AT math.DGmath.KT
keywords eta-invariantuniversalconstructionmanifoldsallowsasidebordismboundaries
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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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