Artículo
Quandle coloring and cocycle invariants of composite knots and abelian extensions
Fecha de publicación:
04/2016
Editorial:
World Scientific
Revista:
Journal Of Knot Theory And Its Ramifications
ISSN:
0218-2165
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Quandle colorings and cocycle invariants are studied for composite knots, and applied to chirality and abelian extensions. The square and granny knots, for example, can be distinguished by quandle colorings, so that a trefoil and its mirror can be distinguished by quandle coloring of composite knots. We investigate this and related phenomena. Quandle cocycle invariants are studied in relation to quandle coloring of the connected sum, and formulas are given for computing the cocycle invariant from the number of colorings of composite knots. Relations to corresponding abelian extensions of quandles are studied, and extensions are examined for the table of small connected quandles, called Rig quandles. Computer calculations are presented, and summaries of outputs are discussed.
Palabras clave:
Abelian Extensions
,
Cocycle Invariants
,
Colorings
,
Composite Knots
,
Quandle
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(OCA CIUDAD UNIVERSITARIA)
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Articulos de OFICINA DE COORDINACION ADMINISTRATIVA CIUDAD UNIVERSITARIA
Citación
Clark, W. Edwin; Saito, Masahico; Vendramin, Claudio Leandro; Quandle coloring and cocycle invariants of composite knots and abelian extensions; World Scientific; Journal Of Knot Theory And Its Ramifications; 25; 5; 4-2016; 1650024
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