Abstract
We construct a complete invariant of oriented connected closed surfaces in 3, which generalizes the notion of peripheral system of a knot group. As an application, we define two computable invariants to investigate handlebody knots and bi-knotted surfaces with homeomorphic complements. In particular, we obtain an alternative proof of inequivalence of Ishii, Kishimoto, Moriuchi and Suzuki's handlebody knots 51 and 64.
Lingua originale | English |
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pagine (da-a) | 1-24 |
Numero di pagine | 24 |
Rivista | Journal of Knot Theory and its Ramifications |
Volume | 29 |
DOI | |
Stato di pubblicazione | Pubblicato - 2020 |
Keywords
- Complete invariant
- Handlebody knots
- Surfaces in the 3-sphere