Geodesic
Classical and quantum Teichm\"uller spaces
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 3, pp. 435-502

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

Teichmüller theory is a ramified and rapidly developing area of mathematics which has multiple connections with other directions in the mathematical sciences and with their applications, first and foremost in mathematical physics. In this survey the main lines of development of this theory and its applications to string theory are presented in a historical context. Bibliography: 128 titles.
Keywords: Teichmüller space, Riemann surface, modulus of a family of curves, quasisymmetric homeomorphism, Beltrami differential, universal Teichmüller space, non-commutative geometry, geometric quantization.
Mots-clés : quasiconformal map 
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A. Yu. Vasiliev; A. G. Sergeev. Classical and quantum Teichm\"uller spaces. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 68 (2013) no. 3, pp. 435-502. http://geodesic.mathdoc.fr/item/RM_2013_68_3_a2/