Knots of Ten or Fewer Crossings of Algebraic Order Two

Andrius Tamulis

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arXiv · math/0008066

Knots of Ten or Fewer Crossings of Algebraic Order Two

Andrius Tamulis

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Abstract

The concordance orders of many algebraic order two knots of ten or fewer crossings have been heretofore unknown. We use Casson-Gordon invariants and twisted Alexander polynomials to find that, in all but one case, these knots do not have concordance order two. We also find that a certain family of algebraic order two twisted doubles of the unknot have infinite concordance order.

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BibTeX RIS

Andrius Tamulis. 2000-08-08. Knots of Ten or Fewer Crossings of Algebraic Order Two. https://arxiv.org/abs/math/0008066

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