A complete invariant for connected surfaces in the 3-sphere

G. Bellettini; Maurizio Paolini; Wang Y. -S.

doi:10.1142/S0218216519500913

A complete invariant for connected surfaces in the 3-sphere

G. Bellettini
, Maurizio Paolini
, Wang Y. -S.^*

^*Autore corrispondente per questo lavoro

Risultato della ricerca: Contributo in rivista › Articolo › peer review

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	Inglese
pagine (da-a)	1-24
Numero di pagine	24
Rivista	Journal of Knot Theory and its Ramifications
Volume	29
Numero di pubblicazione	1
DOI	https://doi.org/10.1142/S0218216519500913
Stato di pubblicazione	Pubblicato - 2020

All Science Journal Classification (ASJC) codes

Algebra e Teoria dei Numeri

Keywords

Complete invariant
Handlebody knots
Surfaces in the 3-sphere

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10.1142/S0218216519500913

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KW - Handlebody knots

KW - Surfaces in the 3-sphere

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KW - Surfaces in the 3-sphere

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A complete invariant for connected surfaces in the 3-sphere

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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