Knots of Ten or Fewer Crossings of Algebraic Order Two

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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.
14 pages, 1 figure, LaTaX with AMS packages

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Geometric Topology, 57M25 (Primary) 57N70 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/59695

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008066
 http://arxiv.org/abs/math/0008066

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arXiv