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Covering Spaces over Claspered Knots

几何拓扑 2007-05-23 v3 量子代数

摘要

In this note we reconsider a familiar result in Vassiliev knot theory - that the coefficients of the Alexander-Conway polynomial determine the top row of the Kontsevich integral - from the point of view of Kazuo Habiro's clasper theory. We observe that in this setting the calculation reflects the topology of the universal cyclic covering space of a claspered knot's complement.

引用

@article{arxiv.math/9901029,
  title  = {Covering Spaces over Claspered Knots},
  author = {Andrew Kricker},
  journal= {arXiv preprint arXiv:math/9901029},
  year   = {2007}
}

备注

9 pages, 6 figures. Referencing updated, and improved