- 期刊
GEOMETRIC PRESENTATIONS OF CLASSICAL KNOT GROUPS
並列摘要
The question addressed by this paper is, how close is the tunnel number of a knot to the minimum number of relators in a presentation of the knot group? A dubious, but useful conjecture, is that these two invariants are equal. (The analogous assertion applied to 3-manifolds is known to be false. [1]). It has been shown recently [2] that not all presentations of a knot group are ＂geometric＂. The main result in this paper asserts that the tunnel number is equal to the minimum number of relators among presentations satisfying a somewhat restrictive condition, that is, that such presentations are always geometric.
並列關鍵字
無資料延伸閱讀
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