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The Colored Jones Function 被引量:1

The Colored Jones Function
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摘要 In this paper,we discuss the properties of the colored Jones function of knots.Particularly,we calculate the colored Jones function of some knots(3_1,4_1,5_1,5_2).Furthermore,one can compute the Kashaev's invariants and study some properties of the Kashaev's conjecture. In this paper,we discuss the properties of the colored Jones function of knots.Particularly,we calculate the colored Jones function of some knots(31,41,51,52).Furthermore,one can compute the Kashaev’s invariants and study some properties of the Kashaev’s conjecture.
机构地区 School of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2012年第1期87-91,共5页 数学季刊(英文版)
基金 Supported by the NSF of China(11071106) Supported by the Liaoning Educational Committee (2009A418)
关键词 volume conjecture Kashaev’s conjecture colored Jones function volume conjecture; Kashaev’s conjecture; colored Jones function
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参考文献7

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同被引文献8

  • 1ALEXANDER J W. Topological invariants of knots and links[J]. Trans Amer Math Soci, 1928, 30(2): 275-306.
  • 2JONES V F R. Hecke algebra representations of braid groups and Lpolynomials[J]. Annals of Math, 198, 126: 335-388.
  • 3LOUIS H, KAUFFMAN. New invariants in the theory of knots[J]. AMM, 1988, 95(3): 195-242.
  • 4EUNJU Lee, SAND Youl Lee, SEO Myoungsoo. A Recursive formula for the Jones polynomial of 2-bridge links and applications[J]. J Korean Math Soc, 2009, 46(5): 919-947.
  • 5JIN Xian-an, ZHANG Fu-ji. Zeros of the Jones polynomials for families of pretzel links[J]. Phys A, 2003 328(3-4): 391-408.
  • 6LANDVOY R A. The Jones polynomial of pretzel knots and links[J]. Topology and its Applications, 1998 83: 135-147.
  • 7WU F, WANG J. Zeros of the Jones polynomials[J]. Phys A, 2001, 296(3-4): 483-494.
  • 8TAO Zhi-xiong. On the roots of Jones polynomial[J]. Chinese Annals of Mathematics, 2013, 32A(1): 63-70.

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