CORDS AND 1-HANDLES ATTACHED TO SURFACE-KNOTS

Autor:	Seiichi Kamada
Jazyk:	angličtina
Rok vydání:	2014
Předmět:	1-Handles General Mathematics Geometric Topology (math.GT) Surface-knots /Classification /Cords Surface (topology) Mathematics::Geometric Topology Combinatorics Mathematics - Geometric Topology Knot group 57Q45 Euclidean geometry FOS: Mathematics Coset Chords Peripheral subgroup Mathematics
Zdroj:	Boletín de la Sociedad Matemática Mexicana. 20(2):595-609
ISSN:	2296-4495
Popis:	J. Boyle classified 1-handles attached to surface-knots, that are closed and connected surfaces embedded in the Euclidean 4-space, in the case that the surfaces are oriented and 1-handles are orientable with respect to the orientations of the surfaces. In that case, the equivalence classes of 1-handles correspond to the equivalence classes of cords attached to the surface-knot, and correspond to the double cosets of the peripheral subgroup of the knot group. In this paper, we classify cords and cords with local orientations attached to (possibly non-orientable) surface-knots. And we classify 1-handles attached to surface-knots in the case that the surface-knots are oriented and 1-handles are non-orientable, and in the case that the surface-knots are non-orientable. Comment: It will appear in Boletin de la Sociedad Matematica Mexicana
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::288944072f60d7d92a573ff4573fdd3a https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000009-20-2-23 Zobrazit plný text záznamu Full text from SpringerLink