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Toroidal and Annular Dehn Fillings

1999; Wiley; Volume: 78; Issue: 3 Linguagem: Inglês

10.1112/s0024611599001823

1460-244X

Cameron McA. Gordon, Ying-Qing Wu,

Cell Adhesion Molecules Research

Proceedings of the London Mathematical SocietyVolume 78, Issue 3 p. 662-700 Articles Toroidal and Annular Dehn Fillings Cameron McA. Gordon, Cameron McA. Gordon [email protected] Mathematical Sciences Research Institute, Berkley Department of Mathematics, University of Texas at Austin, Austin, TX 78712, U.S.A. Search for more papers by this authorYing-Qing Wu, Ying-Qing Wu [email protected] Mathematical Sciences Research Institute, Berkley Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.A.Search for more papers by this author Cameron McA. Gordon, Cameron McA. Gordon [email protected] Mathematical Sciences Research Institute, Berkley Department of Mathematics, University of Texas at Austin, Austin, TX 78712, U.S.A. Search for more papers by this authorYing-Qing Wu, Ying-Qing Wu [email protected] Mathematical Sciences Research Institute, Berkley Department of Mathematics, University of Iowa, Iowa City, IA 52242, U.S.A.Search for more papers by this author First published: 23 December 2016 https://doi.org/10.1112/S0024611599001823Citations: 22 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract Suppose that M is a hyperbolic 3-manifold which admits two Dehn fillings M(r1) and M(r2) such that M(r1) contains an essential annulus, and M(r2) contains an essential torus. It is known that Δ = Δ (r1, r2) ⩽ 5. We will show that if Δ = 5 then M is the Whitehead sister link exterior, and if Δ = 4 then M is the exterior of either the Whitehead link or the 2-bridge link associated to the rational number 3 10 . There are infinitely many examples with Δ = 3. 1991 Mathematics Subject Classification: 11D25, 11G05, 14G05. Citing Literature Volume78, Issue3May 1999Pages 662-700 RelatedInformation