Geodesic
Quantum Mapping Class Group, Pentagon Relation, and Geodesics
Informatics and Automation, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 163-179

Voir la notice de l'article provenant de la source Math-Net.Ru

The mapping class group transformations that satisfy the pentagon relation are constructed for classical and quantum Teichmüller spaces coordinatized in terms of graphs. Classical and quantum geodesic algebras governed by the skein relations are discussed. 
@article{TRSPY_1999_226_a12,
     author = {V. V. Fock and L. O. Chekhov},
     title = {Quantum {Mapping} {Class} {Group,} {Pentagon} {Relation,} and {Geodesics}},
     journal = {Informatics and Automation},
     pages = {163--179},
     publisher = {mathdoc},
     volume = {226},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1999_226_a12/}
}
TY  - JOUR
AU  - V. V. Fock
AU  - L. O. Chekhov
TI  - Quantum Mapping Class Group, Pentagon Relation, and Geodesics
JO  - Informatics and Automation
PY  - 1999
SP  - 163
EP  - 179
VL  - 226
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_1999_226_a12/
LA  - ru
ID  - TRSPY_1999_226_a12
ER  - 
%0 Journal Article
%A V. V. Fock
%A L. O. Chekhov
%T Quantum Mapping Class Group, Pentagon Relation, and Geodesics
%J Informatics and Automation
%D 1999
%P 163-179
%V 226
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_1999_226_a12/
%G ru
%F TRSPY_1999_226_a12
V. V. Fock; L. O. Chekhov. Quantum Mapping Class Group, Pentagon Relation, and Geodesics. Informatics and Automation, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 163-179. http://geodesic.mathdoc.fr/item/TRSPY_1999_226_a12/