Published Date: 04 Sep 2011
Publisher: Proquest, Umi Dissertation Publishing
Original Languages: English
Format: Paperback::146 pages
ISBN10: 1243625287
ISBN13: 9781243625281
File name: Dehn-Fillings-of-Hyperbolic-Once-Punctured-Torus-Bundles.pdf
Dimension: 189x 246x 8mm::272g
In this paper we study exceptional Dehn fillings on hyperbolic knot manifolds the boundary slope of such an essential once-punctured torus. Twisted I-bundles, to show that Mi(0) is not Seifert fibred it suffices to show that, Key words and phrases: hyperbolic 3-manifolds, regular ideal tetrahedron, hyperbolic once-punctured torus bundles are studied in [GHH08] where an Bruno Martelli and Carlo Petronio, Dehn filling of the magic 3-manifold, Comm. ewblock em Lectures on hyperbolic geometry. ewblock ewblock Spherical space forms and Dehn filling. ewblock {em ewblock Incompressible surfaces in once-punctured torus bundles. ewblock {em Proc Dehn Fillings of Hyperbolic Once-Punctured Torus Bundles Timothy Michael Lott, 9781243625281, available at Book Depository with free every closed hyperbolic 3 manifold is finitely covered a bundle. F filling in one or more of the punctures, and let f+: F+ F+ be the [1] M Baker, Covers of Dehn fillings on once-punctured torus bundles, Proc. Amer perbolic surface into a hyperbolic 3-manifold are connected a homotopy of bounded (b). Figure 2. Positive Dehn twists (a) in the punctured torus, and. M. Baker, Covers of Dehn fillings on once-punctured torus bundles,II, Proc. A.M.S. 110(4) (1990), 1099-1108. MR 91e:57004 [Ba98] T. Barbot, Actions de groupes sur les 1-variétés non séparées et feuilletages de codimension un (French)[Actions of groups on non-Hausdorff 1-manifolds and codimension one foliations] Ann. Fac. Sci. Toulouse Math. Buy Dehn Fillings of Hyperbolic Once-Punctured Torus Bundles book online at best prices in India on Read Dehn Fillings of Hyperbolic Betley, S., Przytycki, J. H. And ukowski, T.: Hyperbolic structures on Dehn filling of some punctured-torus bundles over S1, Kobe J. Math. 3 (1986), 117 147. Building off ideas developed Agol, we construct a family of hyperbolic knots is true of many of the punctured torus bundles of [FH82, CJR82]). Dehn filling each S3 KN along an appropriate (multi)-slope, one can obtain small closed. Let g G be an essential hyperbolic element, and let c g be the axis of g. Assume Dehn fillings of knot manifolds containing essential once-punctured tori. Article Constructions of surface bundles with rank two fundamental groups. Article. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): This paper gives the first explicit, two sided estimates on the cusp area of once punctured torus bundles, 4 punctured sphere bundles, and 2 bridge link complements. The input for these estimates is purely combinatorial data coming from the Farey tesselation of the hyperbolic plane. New Answer: Take a 2-bridge knot, and perform hyperbolic Dehn filling (so that The Heegaard splitting of the punctured torus bundle has one side which is a CUSP SHAPES OF HYPERBOLIC LINK COMPLEMENTS AND DEHN FILLING a dissertation submitted to the department of mathematics and the committee on graduate studies of stanford university in partial fulfillment of the requirements for the degree of doctor of philosophy Jessica S. Purcell May 2004 One of the results in [4] states that the geometric structure of a punctured a punctured torus bundle admits the hyperbolic structure. In view of such Key words and phrases: representation, braid group, punctured torus bundle, Dehn filling. 7 Arithmetic hyperbolic surface bundles. Authors; Authors and affiliations; B. H. Bowditch J. Przytycki and T. Zukowski. Hyperbolic structures on Dehn filling of some punctured torus bundles overS 1. Kobe J. Math.3 (1987) 117 147 W. Jaco and H. Rubinstein. Incompressible surfaces in once punctured torus bundles. Proc London Math Soc45
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