Combinatorial aspects of the character variety of a family of one-relator groups.

DOI10.1016/J.TOPOL.2009.06.011zbMath1219.20007OpenAlexW2010792648MaRDI QIDQ837567

Antonio M. Oller-Marcén, Jorge Martín-Morales

Publication date: 20 August 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.06.011

zbMATH Keywords

one-relator groupsrepresentation varietiesnumbers of irreducible componentscharacter varieties

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Generators, relations, and presentations of groups (20F05) Group actions on affine varieties (14R20)

Related Items (6)

Motive of the \(\mathrm{SL}_4\)-character variety of torus knots ⋮ The character variety of one relator groups ⋮ On \(SL(2, \mathbb{C})\)-representations of torus knot groups ⋮ ON THE NUMBER OF IRREDUCIBLE COMPONENTS OF THE REPRESENTATION VARIETY OF A FAMILY OF ONE-RELATOR GROUPS ⋮ Rank 1 character varieties of finitely presented groups ⋮ THE UNIVERSAL CHARACTER RING OF THE (-2, 2m + 1, 2n)-PRETZEL LINK

Cites Work

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• On the Character Variety of Tunnel Number 1 Knots
• The ${\mathrm {SL}(2,{\mathbb C})}$ character variety of a one-holed torus
• ON THE NUMBER OF IRREDUCIBLE COMPONENTS OF THE REPRESENTATION VARIETY OF A FAMILY OF ONE-RELATOR GROUPS
• Varieties of representations of finitely generated groups
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• CHARACTER VARIETIES AND PERIPHERAL POLYNOMIALS OF A CLASS OF KNOTS
• IRREDUCIBLE COMPONENTS IN AN ALGEBRAIC VARIETY OF REPRESENTATIONS OF A CLASS OF ONE RELATOR GROUPS
• ON THE ARITHMETIC 2-BRIDGE KNOTS AND LINK ORBIFOLDS AND A NEW KNOT INVARIANT

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