Geometry of the SL(3,ℂ)-character variety of torus knots.

dc.contributor.author	Muñoz, Vicente
dc.contributor.author	Porti, J.
dc.date.accessioned	2023-06-18T06:53:06Z
dc.date.available	2023-06-18T06:53:06Z
dc.date.issued	2016
dc.description.abstract	Let G be the fundamental group of the complement of the torus knot of type (m, n). It has a presentation G = <x, y \| xm = yn>. We find a geometric description of the character variety X(G) of characters of representations of G into SL(3,ℂ), GL(3,ℂ) and PGL(3,ℂ).
dc.description.department	Depto. de Álgebra, Geometría y Topología
dc.description.faculty	Fac. de Ciencias Matemáticas
dc.description.refereed	TRUE
dc.description.sponsorship	Ministerio de Ciencia e Innovación (MICINN)
dc.description.status	pub
dc.eprint.id	https://eprints.ucm.es/id/eprint/37764
dc.identifier.doi	10.2140/agt.2016.16.397
dc.identifier.issn	1472-2747
dc.identifier.officialurl	http://msp.org/agt/2016/16-1/agt-v16-n1-p09-s.pdf
dc.identifier.relatedurl	http://msp.org/agt/
dc.identifier.uri	https://hdl.handle.net/20.500.14352/24493
dc.journal.title	Algebraic and Geometric Topology
dc.language.iso	eng
dc.page.final	426
dc.page.initial	397
dc.publisher	Mathematical Sciences Publishers
dc.relation.projectID	MTM2012-34834
dc.rights.accessRights	open access
dc.subject.cdu	514
dc.subject.keyword	Torus knot
dc.subject.keyword	Characters
dc.subject.keyword	Representations
dc.subject.ucm	Geometría
dc.subject.unesco	1204 Geometría
dc.title	Geometry of the SL(3,ℂ)-character variety of torus knots.
dc.type	journal article
dc.volume.number	16
dspace.entity.type	Publication

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