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A linear bound on the tetrahedral number of manifolds of bounded volume (after Jorgensen and Thurston)
http://hdl.handle.net/10935/4668
http://hdl.handle.net/10935/466856db40c3-b1b1-476b-86e2-718318517851
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
BB08013721pp27-42.pdf
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| アイテムタイプ | _図書/Book(1) | |||||||||||||
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| 公開日 | 2018-05-14 | |||||||||||||
| タイトル | ||||||||||||||
| タイトル | A linear bound on the tetrahedral number of manifolds of bounded volume (after Jorgensen and Thurston) | |||||||||||||
| 言語 | ja | |||||||||||||
| 言語 | ||||||||||||||
| 言語 | jpn | |||||||||||||
| 資源タイプ | ||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_2f33 | |||||||||||||
| 資源タイプ | book | |||||||||||||
| 著者 |
小林, 毅
× 小林, 毅
× Rieck, Yo'av
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| 抄録 | ||||||||||||||
| 内容記述 | We provide a detailed proof of the following folklore theorem: Let mu > 0 be a Margulis constant for 3-dimensional hyperbolic space. Then for any d>0 there exists a constant K>0, depending on mu and d, so that for any complete finite volume hyperbolic 3-manifold M, the d-neighborhood of the mu-thick part of M can be triangulated using at most K Vol(M) tetrahedra; here Vol is the hyperbolic volume function. As a corollary, we obtain the following topological interpretation of the volume: the minimal number of tetrahedra required to triangulate a link exterior in M is linearly equivalent to Vol(M); for a precise statement see Corollary 1.3. | |||||||||||||
| 内容記述 | ||||||||||||||
| 内容記述 | Final version. Pagination and numbering may differ from published version. The First Published in "Topology and geometry in dimension three : triangulations, invariants, and geometric structures : Conference in Honor of William Jaco's 70th Birthday, June 4-6, 2010, Oklahoma State University, Stillwater, Oklahoma (Contemporary Mathematics Vol.560)" in 2011, Published by American Mathematical Society. 〓 2011, American Mathematical Society. | |||||||||||||
| 言語 | en | |||||||||||||
| 内容記述 | ||||||||||||||
| 内容記述 | 発行者:American Mathematical Society | |||||||||||||
| 言語 | ja | |||||||||||||
| 書誌情報 |
en : Topology and geometry in dimension three : triangulations, invariants, and geometric structures : Conference in Honor of William Jaco's 70th Birthday, June 4-6, 2010, Oklahoma State University, Stillwater, Oklahoma (Contemporary Mathematics) 巻 560, p. 27-42, 発行日 2011 |
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| 収録物識別子タイプ | NCID | |||||||||||||
| 収録物識別子 | BB08013721 | |||||||||||||
| 著者版フラグ | ||||||||||||||
| 出版タイプ | AM | |||||||||||||
