UNIVERSAL TEICHMULLER SPACE IN GEOMETRY AND PHYSICS

被引:15
|
作者
PEKONEN, O
机构
[1] Department of Mathematics, University of Jyväskylä, SF-40351 Jyväskylä
关键词
UNIVERSAL TEICHMULLER SPACE; BOSONIC STRING THEORY;
D O I
10.1016/0393-0440(94)00007-Q
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Lipman Bers' universal Teichmuller space, classically denoted by T(1), plays a significant role in Teichmuller theory, because all the Teichmuller spaces T(G) of Fuchsian groups G can be embedded into it as complex submanifolds. Recently, T(1) has also become an object of intensive study in physics, because it is a promising geometric environment for a non-perturbative version of bosonic string theory. We provide a non-technical survey of what is currently known about the geometry of T(1) and what is conjectured about its physical meaning. Our bibliography should be rather comprehensive, but we apologize for any unjustified omissions.
引用
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页码:227 / 251
页数:25
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