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arXiv · 1403.5406

Realizing the analytic surgery group of Higson and Roe geometrically, Part II: Relative eta-invariants

Robin Deeley·Magnus Goffeng
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Abstract

We apply the geometric analog of the analytic surgery group of Higson and Roe to the relative $\eta$-invariant. In particular, by solving a Baum-Douglas type index problem, we give a "geometric" proof of a result of Keswani regarding the homotopy invariance of relative $\eta$-invariants. The starting point for this work is our previous constructions in "Realizing the analytic surgery group of Higson and Roe geometrically, Part I: The geometric model" (arXiv:1308.5990).

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Robin Deeley, Magnus Goffeng. 2014-03-21. Realizing the analytic surgery group of Higson and Roe geometrically, Part II: Relative eta-invariants. https://arxiv.org/abs/1403.5406

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