論文

査読有り
2017年10月

Four-dimensional manifolds constructed by lens space surgeries of distinct types

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
  • Motoo Tange
  • ,
  • Yuichi Yamada

26
11
開始ページ
1750069-1
終了ページ
51
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1142/S0218216517500699
出版者・発行元
WORLD SCIENTIFIC PUBL CO PTE LTD

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 study pairs of lens space surgeries along distinct knots whose lens spaces (i.e. the resulting lens spaces of the surgeries) are orientation-preservingly or -reversingly homeomorphic. In the authors' previous work, we treated with the case both knots are torus knots. In this paper, we focus on the case where one is a torus knot and the other is a Berge's knot Type VII or VIII, in a genus one fiber surface. We determine the complete list (set) of such pairs of lens space surgeries and study the closed 4-manifolds constructed as above. The list consists of six sequences. All framed links and handle calculus are indexed by integers.

リンク情報
DOI
https://doi.org/10.1142/S0218216517500699
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000412572700009&DestApp=WOS_CPL
ID情報
  • DOI : 10.1142/S0218216517500699
  • ISSN : 0218-2165
  • eISSN : 1793-6527
  • Web of Science ID : WOS:000412572700009

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