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

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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>.

@article{Kharlamov1993,
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},
}

TY - JOUR
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 -

References

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  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. 

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