On the Definition of 2 -Category of 2 -Knots

V. M. Kharlamov; V. G. Turaev

Recherche Coopérative sur Programme n°25 (1993)

  • Volume: 45, page 151-166

How to cite


Kharlamov, V. M., and Turaev, V. G.. "On the Definition of $2$-Category of $2$-Knots." Recherche Coopérative sur Programme n°25 45 (1993): 151-166. <http://eudml.org/doc/274981>.

author = {Kharlamov, V. M., Turaev, V. G.},
journal = {Recherche Coopérative sur Programme n°25},
language = {eng},
pages = {151-166},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {On the Definition of $2$-Category of $2$-Knots},
url = {http://eudml.org/doc/274981},
volume = {45},
year = {1993},

AU - Kharlamov, V. M.
AU - Turaev, V. G.
TI - On the Definition of $2$-Category of $2$-Knots
JO - Recherche Coopérative sur Programme n°25
PY - 1993
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 45
SP - 151
EP - 166
LA - eng
UR - http://eudml.org/doc/274981
ER -


  1. [F] John E. Fischer, Jr., 2-categories and 2-knots, Preprint (1993). Zbl0847.57008
  2. [K-V] M. M. Kapranov, V. A. Voevodsky, Braided monoidal 2-categories, 2-vector spaces and Zamolodchikov tetrahedra equations, Preprint (1991). 
  3. [K-S] D. Kazhdan, Y. Soibelman, Representations of the quantized function algebras, 2-categories and Zamolodchikov tetrahedra equation, Preprint (1993). Zbl0804.17014
  4. [Kh] V. M. Kharlamov, Movements of straight lines and the tetrahedron equations, Publ. Dipart. Mat. Univ. Pisa (1992). 
  5. [M-S] Yu. I. Manin, V. V. Schechtman, Arrangements of hyperplanes, higher braid groups and higher Bruhai orders, Adv. Studies in Pure Math.17 (1989), 289-308. Zbl0759.20002
  6. [RT1] N. Reshetikhin, V. Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys.127 (1990), 1-26. Zbl0768.57003
  7. [RT2] N. Reshetikhin. V. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math.103 (1991), 547-598. Zbl0725.57007
  8. [Tu] V. Turaev, Operator invariants of tangles and R-matrices, Izvestia Ac. Sci. USSR53 (1989); Zbl0707.57003
  9. V. TuraevEnglish transl. in Math. USSR Izvestia35 (1990), 411-444. Zbl0707.57003
  10. [Ye] D. N. Yetter, Markov algebras and Braids, AMS Contemp. Math.78 (1988), 705-730. Zbl0665.57004
  11. [Z] A. B. Zamolodchikov, Tetrahedron equations and integrable systems in three-dimensional space, J. E. T. P52 (1980), 325-336. 

NotesEmbed ?


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.