Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 2, pp. 198-204
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R. M. Kashaev. The pentagon equation and mapping-class groups of punctured surfaces. Teoretičeskaâ i matematičeskaâ fizika, Tome 123 (2000) no. 2, pp. 198-204. http://geodesic.mathdoc.fr/item/TMF_2000_123_2_a4/
@article{TMF_2000_123_2_a4,
author = {R. M. Kashaev},
title = {The pentagon equation and mapping-class groups of punctured surfaces},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {198--204},
year = {2000},
volume = {123},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2000_123_2_a4/}
}
TY - JOUR
AU - R. M. Kashaev
TI - The pentagon equation and mapping-class groups of punctured surfaces
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 2000
SP - 198
EP - 204
VL - 123
IS - 2
UR - http://geodesic.mathdoc.fr/item/TMF_2000_123_2_a4/
LA - ru
ID - TMF_2000_123_2_a4
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%0 Journal Article
%A R. M. Kashaev
%T The pentagon equation and mapping-class groups of punctured surfaces
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2000
%P 198-204
%V 123
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_2000_123_2_a4/
%G ru
%F TMF_2000_123_2_a4
In the quantum Teichmüller theory, the mapping-class groups of punctured surfaces are represented projectively based on Penner coordinates. Algebraically, the representation is based on the pentagon equation together with pair of additional relations. Two more examples of solutions of these equations are connected with matrix (or operator) generalizations of the Rogers dilogarithm. The corresponding central charges are rational. It is possible that this system of equations admits many different solutions.
