Hyperbolic dehn surgery

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August undefined, 2024

WebFor a hyperbolic knot K in the 3-sphere S3, there are at most ﬁnitely many Dehn surgeries which yield non-hyperbolic 3-manifolds by Thurston’s hyperbolic Dehn surgery … Web9 apr. 2024 · The Dehn surgery characterisation of Whitehead doubles. April 2024; Authors: Laura Wakelin ...

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WebWe show that twice the knot signature and the natural slope differ by at most a constant times the hyperbolic volume divided by the cube of the injectivity radius. This inequality was discovered using machine learning to detect relationships between various knot invariants. It has applications to Dehn surgery and to 4-ball genus. We also show a… WebHyperbolic Knot Theory - Jessica S. Purcell 2024-10-06 This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. Hyperbolic geometry was first used as a tool to study knots by Riley and then Thurston in the 1970s. tauranga emergency department

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WebDehn surgery, homology and hyperbolic volume IAN AGOL MARC CULLER PETER B SHALEN If a closed, orientable hyperbolic 3–manifold M has volume at most 1.22 then … WebThus an exceptional Dehn surgery is non-hyperbolic, and using a version of Thurston’s orbifold theorem proved by Boileau and Porti [BP], it can be shown that a non-exceptional surgery on a 2-bridge knot is also hyperbolic, see Remark 6.3. There has been many researches in determining how many exceptional surgeries a knot can admit. Web22 feb. 2024 · Construction of generalized torsion elements in hyperbolic 3-manifold groups with arbitrarily large rank Kimihiko Motegi 拡大KOOKセミナー2024 2024年8月31日 ... Dehn surgery on knots：survey 茂手木公彦微分トポロジー22 2024年3月19日 ... tauranga emergency dentist

Toroidal Dehn Surgery on Hyperbolic Knots and Hitting Number ∗ …

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Web2.2. Hyperbolic Dehn surgery. A breakthrough in 3-manifold theory as well as in knot theory was signi ed by the introduction by William Thurston of hyperbolic geometry into … WebThe Hyperbolic Dehn Surgery Theorem due to Thurston [11] says that all but ﬁnitely many Dehn surgeries on a hyperbolic knot give hyperbolic 3-manifolds. On the … a線維 b線維 c線維神経線維WebDehn surgery, hyperbolic knot, Seifert fiber space, primitive/Seifert-fibered construction. The first author was supported in part by grants from NSERC and FCAR. The second author was supported in part by Grant-in-Aid for Scientific Research (No. tauranga elim live

"WebThis is a personal view of some problems on minimal surfaces, Ricci flow, polyhedral geometric structures, Haken 4–manifolds, contact structures and Heegaard splittings, singular incompressible surfaces after the Hamil… " - Hyperbolic dehn surgery

Hyperbolic dehn surgery

The Dehn surgery characterisation of Whitehead doubles

WebKeywords Dehn surgery, hyperbolic knot, Seifert- bered space, excep-tional surgery 1 Introduction Since all compact orientable 3-manifolds can be realized by Dehn surgery … WebThe proof of Theorems 1.1 and 1.2 immediately divides into two cases: either M is obtained by Dehn filling one of the manifolds in this list, or it is not. In the former case, a s

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Webπ1(M)→ PSL2Cof the complete hyperbolic structure; Thurston showed in his Hyperbolic Dehn Surgery Theorem that this representation has a complex curve of deformations … WebLAURA WAKELIN 2.3. Dehn surgery. For the purpose of introducing our notation, we brieﬂy recall the deﬁnition of Dehn surgery.If M′ is a compact orientable 3-manifold, then Dehn ﬁlling describes the process of attaching a solid torus S1 ×D2 to a toroidal boundary component T2 ⊂ ∂M′ via a homeomorphism φ : ∂(S1 ×D2) → T2 ⊂ ∂M′, φ({pt}×∂D2) = γ,

Web10 apr. 2024 · The Dehn surgery characterisation of Whitehead doubles. Laura Wakelin. A slope is characterising for a knot if the oriented homeomorphism type of the manifold obtained by Dehn surgery of slope on uniquely determines the knot . We combine analysis of JSJ decompositions with techniques involving lengths of shortest geodesics to find … Web3-manifolds by Thurston’s hyperbolic Dehn surgery theorem [15]. Such surgeries are called exceptional Dehn surgeries.Fur-thermore, any exceptional Dehn surgery is …

WebHyperbolisk Dehn-operation finns bara i dimension tre och är en som skiljer hyperbolisk geometri i tre dimensioner från andra dimensioner. En sådan operation kallas ofta också … http://people.mpim-bonn.mpg.de/stavros/publications/trace.fields.dehn.fillings.pdf

WebHyperbolic Dehn surgery A hyperbolic structure for the complement of the ﬁgure-eight knot was con-structed in 3.1. This structure was in fact chosen to be complete. The …

WebIn this talk, I will give an introduction to factorization homology and equivariant factorization homology. I will then discuss joint work with Asaf Horev and Foling Zou, with an appendix by Jeremy Hahn and Dylan Wilson, in which we prove a "non-abelian Poincaré duality" theorem for equivariant factorization homology, and study the equivariant factorization homology … tauranga engineering firmsWeb10 feb. 2024 · Abstract. Neumann and Reid conjectured that only three hyperbolic knot complements admit hidden symmetries. Here, we provide evidence for the conjecture, … tauranga engineeringWebDehn surgery along any of the knots Ki, Theorem 1.2 implies: Corollary 1.3 The knots Ki ⊂ S3 arising from the periodic cycles of mon-odromy around the ﬁgure–eight knot, ordered by their lengths in a generic metric, obey the Chebotarev law. If desired, the ﬁgure–eight knot itself can be included among the list of knots (Ki). a英文WebDehn surgery, homology and hyperbolic volume Ian Agol, Marc Culler, and Peter B. Shalen Abstract. If a closed, orientable hyperbolic 3-manifold M has volume at most 1.22 then H1(M;Zp) has dimension at most 2 for every prime p 6= 2 ,7, and H1(M;Z2) and H1(M;Z7) have dimension at most 3. The proof combines several deep results about … tauranga emergency managementWebIn the first part of this paper, we construct infinitely many hyperbolic closed 3-manifolds which admit no symplectic fillable contact structure. All these 3-manifolds are obtained by Dehn surgeries along L-space knots… tauranga employersWebPseudo-Anosovs of interval type Ethan FARBER, Boston College (2024-04-17) A pseudo-Anosov (pA) is a homeomorphism of a compact connected surface S that, away from a finite set of points, acts locally as a linear map with one expanding and one contracting … a股第一代“超级庄家”吕梁去世 tauranga engineering standards