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FOUR-DIMENSIONAL MANIFOLDS CONSTRUCTED BY LENS SPACE SURGERIES ALONG TORUS KNOTS
http://hdl.handle.net/2241/117937
http://hdl.handle.net/2241/117937ed845da9-eb29-4a0e-9d33-36aab7cf71f0
名前 / ファイル | ライセンス | アクション |
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JKTR_21-11.pdf (829.4 kB)
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Item type | Journal Article(1) | |||||
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公開日 | 2012-11-22 | |||||
タイトル | ||||||
タイトル | FOUR-DIMENSIONAL MANIFOLDS CONSTRUCTED BY LENS SPACE SURGERIES ALONG TORUS KNOTS | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | journal article | |||||
著者 |
TANGE, MOTOO
× TANGE, MOTOO× YAMADA, YUICHI |
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著者別名 |
丹下, 基生
× 丹下, 基生 |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | A framed knot with an integral coefficient determines a simply-connected 4-manifold by 2-handle attachment. Its boundary is a 3-manifold obtained by Dehn surgery along the framed knot. For a pair of such Dehn surgeries along distinct knots whose results are homeomorphic, it is a natural problem: Determine the closed 4-manifold obtained by pasting the 4-manifolds along their boundaries. We determine the complete list (set) of pairs of integral surgeries along distinct torus knots whose resulting manifolds are orientation preserving/reversing homeomorphic lens spaces, and study the closed 4-manifolds constructed as above. The list consists of five sequences. All framed links and Kirby calculus are indexed by integers. As a bi-product, some sequences of embeddings of lens spaces into the standard 4-manifolds are constructed. | |||||
書誌情報 |
Journal of knot theory and its ramifications 巻 21, 号 11, p. 1250111, 発行日 2012-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 0218-2165 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA10833085 | |||||
DOI | ||||||
識別子タイプ | DOI | |||||
関連識別子 | 10.1142/S0218216512501118 | |||||
権利 | ||||||
権利情報 | © 2012 World Scientific Publishing Co. This is an electronic version of an article published as J. Knot Theory Ramifications 21, 1250111 (2012).It can be found at http://www.worldscientific.com/worldscinet/jktr. |
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著者版フラグ | ||||||
値 | author | |||||
出版者 | ||||||
出版者 | World Scientific Publishing | |||||
URI | ||||||
識別子 | http://hdl.handle.net/2241/117937 | |||||
識別子タイプ | HDL |