Dalian notes on rational Pontryagin classes
Algebraic Topology
2022-02-02 v8
Abstract
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.
Cite
@article{arxiv.1507.00153,
title = {Dalian notes on rational Pontryagin classes},
author = {Michael S. Weiss},
journal= {arXiv preprint arXiv:1507.00153},
year = {2022}
}
Comments
v2: corrections in appendix A, references added. v3: new appendix B. v4: bibliography updated, appendix A downsized, typos corrected. v5: abstract added. v6: details added. v7: section 2 simplified, minor mistakes corrected. v8: new fonts, erroneous crossrefs corrected. This will be published under another title, "Rational Pontryagin classes of Euclidean fiber bundles"