Nontriviality of the 𝑀-degree of the 𝐴-polynomial

DOI10.1090/S0002-9939-2014-11936-8zbMath1320.57014arXiv1409.1490MaRDI QIDQ5418532

Hans U. Boden

Publication date: 4 June 2014

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

Full work available at URL: https://arxiv.org/abs/1409.1490

zbMATH Keywords

knotsrepresentationscharacter variety\(A\)-polynomial

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05)

Uses Software

• SageMath
• KnotInfo

Cites Work

• Unnamed Item
• The \(A\)-polynomial of the \((-2,3,3+2n)\) pretzel knots
• Varieties of group representations and splittings of 3-manifolds
• Tangle sums and factorization of A-polynomials
• Plane curves associated to character varieties of 3-manifolds
• A proof of the finite filling conjecture
• Non-triviality of the \(A\)-polynomial for knots in \(S^3\)
• Dehn surgery, the fundamental group and \(\operatorname{SU}(2)\)
• A formula for the \(A\)-polynomials of \((-2,3,1+2n)\)-Pretzel knots
• The \(SL(2, \mathbb C)\) Casson invariant for Dehn surgeries on two-bridge knots
• The A -Polynomial has Ones in the Corners
• REMARKS ON THE A-POLYNOMIAL OF A KNOT
• THE CULLER-SHALEN SEMINORMS OF THE (-2, 3, n) PRETZEL KNOT
• Every nontrivial knot in $S^3$ has nontrivial A-polynomial
• A FORMULA FOR THE A-POLYNOMIAL OF TWIST KNOTS
• An intersection theory count of the \(\text{SL}_2({\mathbb C})\)-representations of the fundamental group of a \(3\)-manifold

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