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Tautological rings for high-dimensional manifolds

dc.creatorGalatius, S
dc.creatorGrigoriev, I
dc.creatorRandal-Williams, Oscar
dc.date.accessioned2016-11-07
dc.date.accessioned2018-11-24T23:27:01Z
dc.date.available2017-02-01T15:27:36Z
dc.date.available2018-11-24T23:27:01Z
dc.date.issued2017-04
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/262219
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3930
dc.description.abstractWe study tautological rings for high-dimensional manifolds, that is, for each smooth manifold $M$ the ring $R^*$($M$) of those characteristic classes of smooth fibre bundles with fibre $M$ which is generated by generalised Miller–Morita–Mumford classes. We completely describe these rings modulo nilpotent elements, when $M$ is a connected sum of copies of $S^n$ × $S^n$ for $n$ odd.
dc.languageen
dc.publisherCambridge University Press
dc.publisherCompositio Mathematica
dc.subjecttautological ring
dc.subjectcharacteristic class
dc.titleTautological rings for high-dimensional manifolds
dc.typeArticle


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