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arxiv: 1212.0241 · v1 · pith:KLXO4ZXBnew · submitted 2012-12-02 · 🧮 math.KT

The Mayer-Vietoris Sequence for the Analytic Structure Group

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keywords mayer-vietorisanalyticgroupsequencestructureboundarydevelopexplicit
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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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