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arXiv · hep-th/9310045

Universal Teichmüller space in geometry and physics

Osmo Pekonen
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Abstract

Lipman Bers' universal Teichmüller space, classically denoted by $T(1)$, plays a significant role in Teichmüller theory, because all the Teichmüller 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.

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Osmo Pekonen. 1993-10-07. Universal Teichmüller space in geometry and physics. https://doi.org/10.1016/0393-0440(94)00007-q

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