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

Vicente Muñoz, Joan Porti

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)


© 2016, Science in China Press. All rights reserved. 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).
Original languageEnglish
Pages (from-to)397-426
JournalAlgebraic and Geometric Topology
Issue number1
Publication statusPublished - 23 Feb 2016


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