Knots of Ten or Fewer Crossings of Algebraic Order Two

Details Knots of Ten or Fewer Crossings of Algebraic Order Two Knots of Ten or Fewer Crossings of Algebraic Order Two

2000-08-08

arxiv.org/abs/math/0008066v1

Mathematics

Geometric Topology

14 pages, 1 figure, LaTaX with AMS packages

Scientific paper

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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