Structure in the classical knot concordance group

Tim D. Cochran; Kent E. Orr; Peter Teichner

Structure in the classical knot concordance group

几何拓扑 2007-10-23 v1

作者: Tim D. Cochran , Kent E. Orr , Peter Teichner

摘要

We provide new information about the structure of the abelian group of topological concordance classes of knots in $S^3$ . One consequence is that there is a subgroup of infinite rank consisting entirely of knots with vanishing Casson-Gordon invariants but whose non-triviality is detected by $L^{(2)}$ signatures.

关键词

knot theory knot invariants abelian groups

引用

@article{arxiv.math/0206059,
  title  = {Structure in the classical knot concordance group},
  author = {Tim D. Cochran and Kent E. Orr and Peter Teichner},
  journal= {arXiv preprint arXiv:math/0206059},
  year   = {2007}
}

备注

26 pages, 3 figures

Structure in the classical knot concordance group

摘要

关键词

引用

备注

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