The Mayer-Vietoris Sequence for the Analytic Structure Group

preprint2012arXivOpen access

Abstract

We develop a Mayer-Vietoris sequence for the analytic structure group explored by Higson and Roe. Using explicit formulas for Mayer-Vietoris boundary maps, we give a new proof and generalizations of Roe's partitioned manifold index theorem.

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