Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/18275
Títulos: | The character variety of one relator groups |
Autores/as: | Cavicchioli, A. Spaggiari, F. |
Palabras clave: | Finitely generated group;Torus link;Torus bundle;Character variety;SL(2;ℂ) representation;Kauffman bracket skein module. |
Fecha de publicación: | 2023 |
Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
Resumen: | We consider some families of one relator groups arising as fundamental groups of 3-dimensional manifolds, and calculate their character varieties in SL(2;ℂ). Then we give simple geometrical descriptions of such varieties, and determine the number of their irreducible components. Our paper relates to the work of Baker-Petersen, Qazaqzeh and Morales-Marcén on the character variety of certain classes of one relator groups, but we use different methods based on the concept of palindrome presentations of given groups. |
URI: | http://hdl.handle.net/10662/18275 |
ISSN: | 0213-8743 |
DOI: | 10.17398/2605-5686.38.1.105 |
Colección: | Extracta Mathematicae Vol. 38, nº 1 (2023) |
Archivos
Archivo | Descripción | Tamaño | Formato | |
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2605-5686_38_1_105.pdf | 357,65 kB | Adobe PDF | Descargar |
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