Invariants of 3-manifolds via link polynomials and quantum groups.

N. Reshetikhin; V.G. Turaev

Inventiones mathematicae (1991)

  • Volume: 103, Issue: 3, page 547-598
  • ISSN: 0020-9910; 1432-1297/e

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Reshetikhin, N., and Turaev, V.G.. "Invariants of 3-manifolds via link polynomials and quantum groups.." Inventiones mathematicae 103.3 (1991): 547-598. <http://eudml.org/doc/143870>.

@article{Reshetikhin1991,
author = {Reshetikhin, N., Turaev, V.G.},
journal = {Inventiones mathematicae},
keywords = {Jones polynomial; link; 3-sphere; 3-dimensional topological quantum field theory; Kirby-moves; surgery; quantum enveloping algebra},
number = {3},
pages = {547-598},
title = {Invariants of 3-manifolds via link polynomials and quantum groups.},
url = {http://eudml.org/doc/143870},
volume = {103},
year = {1991},
}

TY - JOUR
AU - Reshetikhin, N.
AU - Turaev, V.G.
TI - Invariants of 3-manifolds via link polynomials and quantum groups.
JO - Inventiones mathematicae
PY - 1991
VL - 103
IS - 3
SP - 547
EP - 598
KW - Jones polynomial; link; 3-sphere; 3-dimensional topological quantum field theory; Kirby-moves; surgery; quantum enveloping algebra
UR - http://eudml.org/doc/143870
ER -

Citations in EuDML Documents

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  1. Pavel I. Etingof, Alexander A. Kirillov, Jr., Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
  2. V. M. Kharlamov, V. G. Turaev, On the Definition of 2 -Category of 2 -Knots
  3. Shahn Majid, Anyonic Groups
  4. Bogusław Broda, A gauge-field approach to 3- and 4-manifold invariants
  5. Louis Kauffman, Spin networks and the bracket polynomial
  6. Józef Przytycki, Search for different links with the same Jones' type polynomials: Ideas from graph theory and statistical mechanics
  7. Nafaa Chbili, Les invariants θ p des 3-variétés périodiques
  8. Vladimir Turaev, Quantum invariants of links and 3-valent graphs in 3-manifolds
  9. Patrick Gilmer, A TQFT for Wormhole cobordisms over the field of rational functions
  10. Xiao-Song Lin, Finite type invariants of integral homology 3-spheres: A survey

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