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Dalian notes on rational Pontryagin classes

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arxiv 1507.00153 v8 pith:FF32RFSP submitted 2015-07-01 math.AT

Michael S. Weiss This is my paper · ORCID
classification math.AT
keywords classespontryaginbundlesfiberrationalcohomologycontrastdalian
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The rational Pontryagin classes, evaluated on fiber bundles where the fiber is a 2n-dimensional euclidean space, can be nonzero in cohomology dimensions much greater than 4n. This makes a striking contrast with the Pontryagin classes of vector bundles.

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  1. The cohomology of Torelli groups is algebraic

    math.AT 2019-08 accept novelty 7.0 of 10

    For 2n ≥ 6 and g ≥ 2, the rational cohomology of the Torelli group of W_g = #^g S^n × S^n is an algebraic representation of Sp_{2g} or O_{g,g}, and its classifying space is nilpotent.

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