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The Mayer-Vietoris Sequence for the Analytic Structure Group

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arxiv 1212.0241 v1 pith:KLXO4ZXB submitted 2012-12-02 math.KT

Paul Siegel This is my paper · ORCID
classification math.KT
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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  1. The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature

    math.KT 2025-06 conditional novelty 7.0 of 10

    The authors define a relative coarse index, prove it computes submanifold indices via a Thom class, and use it to build scalar curvature obstructions away from submanifolds.

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