Universal Teichm\"uller space in geometry and physics

Osmo Pekonen

doi:10.1016/0393-0440(94)00007-Q

Universal Teichm\"uller space in geometry and physics

高能物理 - 理论 2009-10-22 v1 alg-geom 代数几何

作者: Osmo Pekonen

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摘要

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

关键词

topological quantum field theory differential geometry in physics

引用

@article{arxiv.hep-th/9310045,
  title  = {Universal Teichm\"uller space in geometry and physics},
  author = {Osmo Pekonen},
  journal= {arXiv preprint arXiv:hep-th/9310045},
  year   = {2009}
}

备注

25 pages, AMS-Tex

Universal Teichm\"uller space in geometry and physics

摘要

关键词

引用

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