An Experimental Study of Seifert Fibered Dehn Surgery via SnapPea

• MOTEGI Kimihiko

  Department of Mathematics, Nihon University

Bibliographic Information

Other Title

• An Experimental Study of Seifert Fibered Dehn Surgery via SnapPea (Special Section for Workshop of Topology and Computer)

Abstract

Jeff Weeks’ computer program SnapPea has been used widely in 3-manifold topology. This program computes hyperbolic structures after drillings and Dehn fillings on 3-manifolds, and it provides a variety of associated topological, geometric and arithmetic invariants.<BR>  In our previous study about Seifert fibered Dehn surgeries on knots, we used SnapPea to investigate a relationship between closed geodesics in hyperbolic knot complements and Seifert fibers after Seifert fibered surgeries on them. We will explain how we used SnapPea in the study and propose some questions inspired by the computer experiments. These experiments were carried out in the joint work with Katura Miyazaki while we were preparing the paper [Miyazaki and Motegi, Comm. Anal. Geom., 7: 551–582].

Journal

• Interdisciplinary Information Sciences

  Interdisciplinary Information Sciences 9 (1), 95-125, 2003

  The Editorial Committee of the Interdisciplinary Information Sciences

Keywords

• hyperbolic knot
• Dehn surgery
• Seifert fiber space
• geodesic
• computer program SnapPea

Details

• CRID: 1390282679414296448
• NII Article ID: 110000071784
• NII Book ID: AA11032627
• DOI: 10.4036/iis.2003.95
• ISSN: 13476157
• ISSN: 13409050
• HANDLE: 10097/17364
• MRID: 2023112
• Web Site: https://tohoku.repo.nii.ac.jp/records/41645
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed