Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (3): 466-474.

• Articles • Previous Articles     Next Articles

The Arf Invariant of Knots

 HAN You-Fa, SUN De-Zhi, SUN Sheng, YAN Shu   

  1. College of Mathematics, Liaoning Normal University, Dalian 116029
  • Received:2011-10-02 Revised:2012-11-18 Online:2013-06-25 Published:2013-06-25
  • Supported by:

    国家自然科学基金(11071106)和辽宁省高等学校优秀人才支持计划(LR20110310)资助

Abstract:

In this paper, we will show how to calculate the Arf invariant of some links or knots by using the numerical link type invariant I(L), and we will find some new formulas. By these formulas, we can get the Arf invariants of a link or a knot easily, instead of polynomials. And then the calculation Arf becomes not complicated.

Key words: Link, Knot, Polynomial, The Arf invariant, The numerical link type invariant

CLC Number: 

  • 57M25
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