dc.contributor.author Galatius, S en dc.contributor.author Grigoriev, I en dc.contributor.author Randal-Williams, Oscar en dc.date.accessioned 2017-02-01T15:27:36Z dc.date.available 2017-02-01T15:27:36Z dc.date.issued 2017-04 en dc.identifier.issn 0010-437X dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/262219 dc.description.abstract We 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.description.sponsorship S.G. was partially supported by NSF grants DMS-1105058 and DMS-1405001, the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 682922), as well as the Danish National Research Foundation through the Centre for Symmetry and Deformation (DNRF92) and ERC-682992. O.R.W. was partially supported by EPSRC grant EP/M027783/1. dc.language eng en dc.language.iso en en dc.publisher Cambridge University Press dc.subject tautological ring en dc.subject characteristic class en dc.title Tautological rings for high-dimensional manifolds en dc.type Article prism.endingPage 866 prism.issueIdentifier 4 en prism.publicationDate 2017 en prism.publicationName Compositio Mathematica en prism.startingPage 851 prism.volume 153 en dc.identifier.doi 10.17863/CAM.7474 dcterms.dateAccepted 2016-11-07 en rioxxterms.versionofrecord 10.1112/S0010437X16008332 en rioxxterms.version AM en rioxxterms.licenseref.uri http://www.rioxx.net/licenses/all-rights-reserved en rioxxterms.licenseref.startdate 2017-04 en dc.contributor.orcid Randal-Williams, Oscar [0000-0002-7479-2878] dc.identifier.eissn 1570-5846 rioxxterms.type Journal Article/Review en pubs.funder-project-id EPSRC (EP/M027783/1) cam.issuedOnline 2017-03-13 en
﻿