On the impossibility of a generalization of the HOMFLY — Polynomial to Labelled Oriented Graphs

Antje Christensen; Stephan Rosebrock

Annales de la Faculté des sciences de Toulouse : Mathématiques (1996)

  • Volume: 5, Issue: 3, page 407-419
  • ISSN: 0240-2963

How to cite

top

Christensen, Antje, and Rosebrock, Stephan. "On the impossibility of a generalization of the HOMFLY — Polynomial to Labelled Oriented Graphs." Annales de la Faculté des sciences de Toulouse : Mathématiques 5.3 (1996): 407-419. <http://eudml.org/doc/73388>.

@article{Christensen1996,
author = {Christensen, Antje, Rosebrock, Stephan},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {HOMFLY polynomial; labelled oriented graph; link; Wirtinger presentation},
language = {eng},
number = {3},
pages = {407-419},
publisher = {UNIVERSITE PAUL SABATIER},
title = {On the impossibility of a generalization of the HOMFLY — Polynomial to Labelled Oriented Graphs},
url = {http://eudml.org/doc/73388},
volume = {5},
year = {1996},
}

TY - JOUR
AU - Christensen, Antje
AU - Rosebrock, Stephan
TI - On the impossibility of a generalization of the HOMFLY — Polynomial to Labelled Oriented Graphs
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1996
PB - UNIVERSITE PAUL SABATIER
VL - 5
IS - 3
SP - 407
EP - 419
LA - eng
KW - HOMFLY polynomial; labelled oriented graph; link; Wirtinger presentation
UR - http://eudml.org/doc/73388
ER -

References

top
  1. [1] Burde ( G.) and Zieschang ( H.) .— Knots, Walter de Gruyter, 1985. Zbl0568.57001MR808776
  2. [2] Fenn ( R.), Rimanyi ( R.) and Rourke ( C.) .— The braid-permutation group, In M. E. Bozhüyük, editor, Topics in Knot Theory. Nato A.S.I Series C399 (1993). Zbl0830.57005
  3. [3] Howie ( J.) . — Some remarks on a problem of J. H. C. Whitehead, Topology22 (1983), pp. 475-485. Zbl0524.57002MR715251
  4. [4] Howie ( J.) .— On the asphericity of ribbon disk complements, Trans. Amer. Math. Soc.289, n°1 (1985), pp. 281-302. Zbl0572.57001MR779064
  5. [5] Kaselowsky-Christensen ( A.) .— Zur Verallgemeinerbarkeit des HOMFLY-Polynoms auf beschriftete orientierte Graphen und geschlossene Permutationszöpfe, DiplomarbeitRuhr—Universität Bochum1994. 
  6. [6] Kauffman ( L.H.) .— Knots and Physics, World Scientific, Singapore, 1991. Zbl0733.57004MR1141156
  7. [7] Lickorish ( W.B.R.) and Millett ( K.C.) .— A polynomial invariant of oriented links, Topology26 n° 1 (1987), pp. 107-141. Zbl0608.57009MR880512
  8. [8] Rolfsen ( R.) . — Knots and Links, Publish or Perish, 1976. Zbl0339.55004MR515288
  9. [9] Rosebrock ( S.) . — A reduced spherical diagram into a ribbon-disk complement and related examples, In P. Latiolais, editor, Lecture notes in mathematics, Springer-Verlag1440 (1990), pp. 175-185. Zbl0714.57001MR1082991
  10. [10] Rosebrock ( S.) . — On the realization of Wirtinger presentations as knot groups, J. Knot Theory and its Ram.3, n° 2 (1994), pp. 211-222. Zbl0824.57005MR1279923

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.