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Splitting of the homology of the punctured mapping class group

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If you have a question about this talk, please contact Oscar Randal-Williams .

Let G be the mapping class group of the orientable surface S of genus g with one parametrised boundary curve, and let C(S,m) be the configuration space of m distinct unordered points on S. We compute the homology of C(S,m) with coefficients in Z/2 as a representation of G . Our main application is a splitting theorem for the homology of the mapping class group of a surface of genus g with one parametrised boundary curve and m permutable punctures.

This talk is part of the Differential Geometry and Topology Seminar series.

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