抜粋
For a knot K in the 3-sphere, by using the linking form on the first homology group of the double branched cover of the 3-sphere, we investigate some numerical invariants, 4-genus g* (K), nonorientable 4-genus γ*(K) and 4-dimensional clasp number c* (K), defined from the four-dimensional viewpoint. T. Shibuya gave an inequality g*(K) ≤ c*(K), and asked whether the equality holds or not. From our result in this paper, we find that the equality does not hold in general.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 3693-3699 |
| ページ数 | 7 |
| ジャーナル | Proceedings of the American Mathematical Society |
| 巻 | 128 |
| 発行部数 | 12 |
| 出版物ステータス | Published - 2000 12 1 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
フィンガープリント Four-genus and four-dimensional clasp number of a knot' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。
これを引用
Murakami, H., & Yasuhara, A. (2000). Four-genus and four-dimensional clasp number of a knot. Proceedings of the American Mathematical Society, 128(12), 3693-3699.