|
|
|||
|
||||
OverviewWe show that if a hyperbolic knot manifold M contains an essential twicepunctured torus F with boundary slope ? and admits a filling with slope ? producing a Seifert fibred space, then the distance between the slopes ? and ? is less than or equal to 5 unless M is the exterior of the figure eight knot. The result is sharp; the bound of 5 can be realized on infinitely many hyperbolic knot manifolds. We also determine distance bounds in the case that the fundamental group of the ?-filling contains no non-abelian free group. The proofs are divided into the four cases F is a semi-fibre, F is a fibre, F is non-separating but not a fibre, and F is separating but not a semi-fibre, and we obtain refined bounds in each case. Full Product DetailsAuthor: Steven Boyer , Cameron McA. Gordon , Xingru ZhangPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: Volume: 295 Number: 1469 ISBN: 9781470468705ISBN 10: 1470468700 Pages: 106 Publication Date: 31 May 2024 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Forthcoming Availability: Not yet available This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release. Table of ContentsReviewsAuthor InformationSteven Boyer, Universite du Quebec a Montreal, Quebec, Canada. Cameron McA. Gordon, University of Texas at Austin, Texas. Xingru Zhang, University at Buffalo, New York. Tab Content 6Author Website:Countries AvailableAll regions |