Universal Teichm\"uller space in geometry and physics
High Energy Physics - Theory
2009-10-22 v1 alg-geom
Algebraic Geometry
Abstract
Lipman Bers' universal Teichm\"uller space, classically denoted by , plays a significant role in Teichm\"uller theory, because all the Teichm\"uller spaces of Fuchsian groups can be embedded into it as complex submanifolds. Recently, 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 and what is conjectured about its physical meaning.
Cite
@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}
}
Comments
25 pages, AMS-Tex