dc.contributor.author Wilton, Henry en dc.contributor.author Bridson, M en dc.contributor.author Reid, A en dc.date.accessioned 2017-07-27T10:30:47Z dc.date.available 2017-07-27T10:30:47Z dc.identifier.issn 0024-6093 dc.identifier.uri https://www.repository.cam.ac.uk/handle/1810/265747 dc.description.abstract If $M$ is a compact 3-manifold whose first betti number is 1, and $N$ is a compact 3-manifold such that $π_1N$ and $π_1M$ have the same finite quotients, then $M$ fibres over the circle if and only if $N$ does. We prove that groups of the form $F_2$ $\rtimes$ $\Bbb Z$ are distinguished from one another by their profinite completions. Thus, regardless of betti number, if $M$ and $N$ are punctured-torus bundles over the circle and $M$ is not homeomorphic to $N$, then there is a finite group $G$ such that one of $π_1M$ and $π_1N$ maps onto $G$ and the other does not. dc.description.sponsorship The first author was supported in part by grants from the EPSRC and a Royal Society Wolfson Merit Award. The second author was supported in part by an NSF grant and The Wolfensohn Fund. He would also like to thank the Institute for Advanced Study for its hospitality whilst this work was completed. The third author was supported by a grant from the EPSRC. dc.language.iso en en dc.publisher Wiley dc.title Profinite rigidity and surface bundles over the circle en dc.type Article prism.publicationName Bulletin of the London Mathematical Society en dc.identifier.doi 10.17863/CAM.11516 dcterms.dateAccepted 2017-07-04 en rioxxterms.versionofrecord 10.1112/blms.12076 en rioxxterms.version AM en rioxxterms.licenseref.uri http://www.rioxx.net/licenses/all-rights-reserved en rioxxterms.licenseref.startdate 2017-07-04 en dc.contributor.orcid Wilton, Henry [0000-0001-6369-9478] dc.identifier.eissn 1469-2120 dc.publisher.url http://dx.doi.org/10.1112/blms.12076 en rioxxterms.type Journal Article/Review en pubs.funder-project-id EPSRC (EP/L026481/1) cam.issuedOnline 2017-08-02 en
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