Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds

DOI10.1090/proc/14684zbMath1436.57021arXiv1808.02535OpenAlexW3002938843WikidataQ126301418 ScholiaQ126301418MaRDI QIDQ5221368

Alex Casella, Stephan Tillmann, Charles Katerba

Publication date: 25 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.02535

zbMATH Keywords

valuationessential surfacecharacter varietyideal pointsalgebraic non-integral representation

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) General topology of 3-manifolds (57K30)

Related Items (1)

Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds

Uses Software

• Macaulay2
• SnapPy
• hikmot

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rank 1 character varieties of finitely presented groups
• Varieties of group representations and splittings of 3-manifolds
• Not all boundary slopes are strongly detected by the character variety
• The Turaev genus of an adequate knot
• Lifting representations to covering groups
• Haken manifolds and representations of their fundamental groups in SL(2,\({\mathbb{C}})\)
• On the boundary curves of incompressible surfaces
• Some links with non-trivial polynomials and their crossing-numbers
• On Culler-Shalen seminorms and Dehn filling
• On the character variety of group representations in \(\text{SL}(2,\mathbb{C})\) and \(\text{PSL}(2,\mathbb{C})\)
• Plane curves associated to character varieties of 3-manifolds
• A proof of the finite filling conjecture
• Closed surfaces and character varieties
• Verified Computations for Hyperbolic 3-Manifolds
• Slopes and colored Jones polynomials of adequate knots
• The A -Polynomial has Ones in the Corners
• Computing closed essential surfaces in knot complements
• Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds
• Dehn surgery on knots
• Detection of essential surfaces in 3-manifolds with \(SL_2\)-trees

This page was built for publication: Ideal points of character varieties, algebraic non-integral representations, and undetected closed essential surfaces in 3–manifolds