抄録
Following the conceptual analogies between knots and primes, 3-manifolds and number fields, we discuss an analogue in knot theory after the model of the arithmetical theory of genera initiated by Gauss. We present an analog for cyclic coverings of links following along the line of Iyanaga-Tamagawa's genus theory for cyclic extentions over the rational number field. We also give examples of Z/2Z × Z/2Z-coverings of links for which the principal genus theorem does not hold.
| 本文言語 | 英語 |
|---|---|
| ページ（範囲） | 115-118 |
| ページ数 | 4 |
| ジャーナル | Proceedings of the Japan Academy Series A: Mathematical Sciences |
| 巻 | 77 |
| 号 | 7 |
| DOI | |
| 出版ステータス | 出版済み - 2001 |
| 外部発表 | はい |
!!!All Science Journal Classification (ASJC) codes
- 数学一般