Every nontrivial knot in $S^3$ has nontrivial A-polynomial

DOI10.1090/S0002-9939-05-07814-7zbMath1073.57004OpenAlexW1511878531MaRDI QIDQ4674787

Steven Boyer, Xingru Zhang

Publication date: 18 May 2005

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07814-7

zbMATH Keywords

character variety

Mathematics Subject Classification ID

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

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Eigenvalue varieties of Brunnian links ⋮ Instantons and \(\mathrm{L}\)-space surgeries ⋮ Splicing and the $SL_2({\mathbb C})$ Casson invariant ⋮ The A-polynomial 2-tuple of twisted Whitehead links ⋮ Nontriviality of the 𝑀-degree of the 𝐴-polynomial ⋮ Non-triviality of the \(A\)-polynomial for knots in \(S^3\) ⋮ A Survey of the Impact of Thurston’s Work on Knot Theory ⋮ Augmentations and link group representations ⋮ Character varieties and knot symmetries

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