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TAUTOLOGICAL RINGS AND STABILISATION

Part of:Fiber spaces and bundlesDifferential topology

Published online by Cambridge University Press:  17 March 2021

OSCAR RANDAL-WILLIAMS
OSCAR RANDAL-WILLIAMS*
Affiliation:
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WB, UK e-mails: o.randal-williams@dpmms.cam.ac.uk
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Abstract

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We construct a ring homomorphism comparing the tautological ring, fixing a point, of a closed smooth manifold with that of its stabilisation by S2a×S2b.

MSC classification

Primary:55R40: Homology of classifying spaces, characteristic classes
Secondary:57R22: Topology of vector bundles and fiber bundles

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 64 , Issue 1 , January 2022, pp. 231 - 242
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s) 2021. Published by Cambridge University Press on behalf of Glasgow Mathematical Journal Trust

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