An Experimental Study of Seifert Fibered Dehn Surgery via SnapPea
2003 年 9 巻 1 号 p. 95-125
詳細
2003 年 9 巻 1 号 p. 95-125
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.
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].
