A new criterion for knots with free periods

Nafaa Chbili

Annales de la Faculté des sciences de Toulouse : Mathématiques (2003)

  • Volume: 12, Issue: 4, page 465-477
  • ISSN: 0240-2963

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Chbili, Nafaa. "A new criterion for knots with free periods." Annales de la Faculté des sciences de Toulouse : Mathématiques 12.4 (2003): 465-477. <http://eudml.org/doc/73613>.

@article{Chbili2003,
author = {Chbili, Nafaa},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {lens knot; HOMFLY polynomial},
language = {eng},
number = {4},
pages = {465-477},
publisher = {Université Paul Sabatier, Institut de Mathématiques},
title = {A new criterion for knots with free periods},
url = {http://eudml.org/doc/73613},
volume = {12},
year = {2003},
}

TY - JOUR
AU - Chbili, Nafaa
TI - A new criterion for knots with free periods
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 2003
PB - Université Paul Sabatier, Institut de Mathématiques
VL - 12
IS - 4
SP - 465
EP - 477
LA - eng
KW - lens knot; HOMFLY polynomial
UR - http://eudml.org/doc/73613
ER -

References

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  2. [2] Chbili ( N. ), Le polynôme de Homfly des nœuds librement périodiques, C. R. Acad. Sci. Paris t. 325, Série I, p. 411-414 (1997). Zbl0884.57008
  3. [3] Chbili ( N. ), The Jones polynomials of freely periodic knots , Journal of Knot Theory and its Ramifications9(7), p. 885-891 (2000). Zbl0999.57012MR1780593
  4. [4] Chbili ( N. ), The skein polynomial of freely periodic knots , Topology Appl.121/3, p. 535-542 (2002). Zbl1022.57003MR1909007
  5. [5] Hartely ( R. ), Knots with free period, Can. J. Math.XXXIII(1), p. 91-102 (1981). Zbl0481.57003MR608857
  6. [6] Freyd ( P.) , Yetter ( D.) ; Hoste ( J.) ; Lickorish ( W.B.R.), Millett ( K.) ; Ocneanu ( A. ), A new polynomial invariant of knots and links , Bulletin of the American Mathematical Society12(2), p. 239-246 (1985). Zbl0572.57002MR776477
  7. [7] Jones ( V.F.R. ), Hecke algebra representations of braid groups and link polynomials, Annals of Mathematics126, p. 335-388 (1987). Zbl0631.57005MR908150
  8. [8] Kanenobu ( T.), Miyazawa ( Y.), The second and third terms of the HOMFLY polynomial of a link, Kobe J. Math.16, p. 147-159 (1999). Zbl0979.57003MR1745025
  9. [9] Lickorish ( W.B.R.), Millett ( K.C.), A polynomial invariant of oriented links, Topology26, p. 107-141 (1987). Zbl0608.57009MR880512
  10. [10] Przytycki ( J.H.), On Murasugi's and Traczyk's criteria for periodic links, Math. Ann.283, p. 465-478 (1989). Zbl0642.57007MR985242
  11. [11] Przytycki ( J.H.), An elementary proof of the Traczyk-Yokota criteria for periodic knots, Proc. Amer. Math. Soc.123, p. 1607-1611 (1995). Zbl0843.57009MR1257121
  12. [12] Rolfsen ( D.), Knots and Links, Mathematics Lecture Series, Publish or Perish, Inc.Houston, Texas, (1990). Zbl0854.57002MR1277811
  13. [13] Rubinstein ( J.H. ), An algorithm to recognize the 3-sphere , Proc. Int. Con. Math. Zürich, p. 601-611 (1994). Zbl0864.57009
  14. [14] Traczyk ( P. ) , A criterion for knots of period 3, Topology appl36, p. 275-281 (1990). Zbl0706.57001MR1070706
  15. [15] Traczyk ( P. ) , Periodic knots and the skein polynomial , Invent. math.106(1), p. 73-84 (1991). Zbl0753.57008MR1123374
  16. [16] Yokota ( Y. ), The skein polynomial of periodic knots , Math. Ann.291, p. 281-291 (1991). Zbl0724.57007MR1129368

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