Aviso: para depositar documentos, por favor, inicia sesión e identifícate con tu cuenta de correo institucional de la UCM con el botón MI CUENTA UCM. No emplees la opción AUTENTICACIÓN CON CONTRASEÑA
 

The SL(2,C)-Character Varieties of Torus Knots

Simple item page
dc.contributor.authorMuñoz, Vicente
dc.date.accessioned2023-06-20T09:41:11Z
dc.date.available2023-06-20T09:41:11Z
dc.date.issued2009
dc.description.abstractLet G be the fundamental group of the complement of the torus knot of type (m, n). This has a presentation G = < x, y vertical bar x(m) = y(n)>. We find the geometric description of the character variety X(G) of characters of representations of G into SL(2, C).
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17031
dc.identifier.issn1988-2807
dc.identifier.officialurlhttp://www.mat.ucm.es/serv/revmat/vol22-2/vol22-2f.pdf
dc.identifier.relatedurlhttp://link.springer.com/journal/volumesAndIssues/13163
dc.identifier.relatedurlhttp://www.mat.ucm.es/serv/revmat/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50182
dc.issue.number2
dc.journal.titleRevista matemática complutense
dc.language.isoeng
dc.page.final497
dc.page.initial489
dc.publisherUniversidad Complutense de Madrid
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.cdu515.1
dc.subject.keywordTorus knot
dc.subject.keywordCharacters
dc.subject.keywordRepresentations
dc.subject.ucmGeometria algebraica
dc.subject.ucmTopología
dc.subject.unesco1201.01 Geometría Algebraica
dc.subject.unesco1210 Topología
dc.titleThe SL(2,C)-Character Varieties of Torus Knots
dc.typejournal article
dc.volume.number22
dcterms.referencesM. Culler and P. B. Shalen, Varieties of group representations and splittings of 3-manifolds,Ann. of Math. (2) 117 (1983), no. 1, 109–146. J. Martın-Morales and A-M. Oller-Marcen, On the varieties of representations and characters of a family of one-relator subgroups, arXiv:0805.4716. A-M. Oller-Marc´en, The SL(2, C) character variety of a class of torus knots, Extracta Math. 23 (2008), no. 2, 163–172. D. Rolfsen, Knots and links, Mathematics Lecture Series, vol. 7, Publish or Perish Inc., Houston,TX, 1990. Corrected reprint of the 1976 original.
dspace.entity.typePublication

Download

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
VMuñoz10.pdf
Size:
159.46 KB
Format:
Adobe Portable Document Format
Download

Collections

Artículos