A formula in the theory of finite type invariants

N. Askitas

A formula in the theory of finite type invariants

Geometric Topology 2007-05-23 v2

Authors: N. Askitas

Abstract

A formula for the difference of Vassiliev invariants of degree k+1 of two knots all of whose Vassiliev invariants of degree k agree is proven. The proof uses K. Habiro's C-moves and his theorem which relates them to Vassiliev invariants.

Keywords

finite type invariants vassiliev invariants knots c-moves habiro theorem

Cite

@article{arxiv.math/9904141,
  title  = {A formula in the theory of finite type invariants},
  author = {N. Askitas},
  journal= {arXiv preprint arXiv:math/9904141},
  year   = {2007}
}

Comments

12 pages, AMS-LaTeX, 12 figures. Write-up of part of a talk given in the Topology Seminar of the Max-Planck Institute for Mathematics. Typos and oversights (Statement of Theorem) are dealt with, Final comment and reference added

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