环链的Jones多项式

Abstract

Abstract:

In this paper, the author dealts with the properties of derivative of Jones polynomial for links. In particularly, the author discussed the properties of $υ\-n(K)$ and $\-n(L)$.

Key words: Link, Jones polynomial, Geometrically split, Algebraically split

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HAN You-Fa. Jones Polynomial of Links[J].Acta mathematica scientia,Series A, 2004, 24(4): 485-490.

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References

［1］Ohtsuki T. A polynomial invariant of integral homology 3spheres

. Math Proc Camb Phil Soci, 1995, 117: 83-112
［2］ Murakami H. Quantum SU(2)invariants dominate Casson's
SU(2)invariant. Math Proc Camb Phil Soci, 1993, 115: 253-281
［3］ Jones F R. A polynomial invariant for knots via vonneumann algebras. Bull Amer

Math Soci, 1985,12 （1): 103-111
［4］Jones F R. Hecke algebra representations of braid groups and link polynomials.

Ann Math, 1987, 126: 335-388

[5]Xiaosong Lin, Zhenghan Wang. On Ohtsuki invariants of intergral homology3spheres. Preprint, 1996

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