An Introduction to Teichmuller Spaces
An Introduction to Teichmuller Spaces
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DOI：
10.1007/978-4-431-68174-8
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发表时间：
1992-07
期刊：
影响因子：
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通讯作者：
M. Taniguchi;M. Taniguchi;Ysoichi Imayoshi;Yôichi Imayoshi
中科院分区：
文献类型：
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作者：
M. Taniguchi;M. Taniguchi;Ysoichi Imayoshi;Yôichi Imayoshi
这本书提供了一个简单而紧凑的途径，从最基本的方面到最新的发展，例如这个理论在弦理论方面所起的作用，提供了一个简单而紧凑的途径来访问TeichmA1/4ller空间的理论。TeichmA1/4ller空间给出了给定Riemann曲面上所有复杂结构的参数化解。这门学科涉及许多不同的数学领域，包括复分析、代数几何、微分几何、二维和三维拓扑学、克莱因群和富氏群、自同构形式、复动力学和遍历理论。最近，TeichmA1/4ller空间开始在弦理论中发挥重要作用。Imayoshi和Taniguchi试图让这本书尽可能地自成一体。他们提供了大量的例子和启发式的论点，以帮助读者理解TeichmA1/4ller理论的思想。这本书将是复数分析和代数几何的研究生和研究人员以及从事量子理论工作的理论物理学家的极好的信息来源。
This book offers an easy and compact access to the theory of TeichmA1/4ller spaces, starting from the most elementary aspects to the most recent developments, eg the role this theory plays with regard to string theory. TeichmA1/4ller spaces give parametrization of all the complex structures on a given Riemann surface. This subject is related to many different areas of mathematics including complex analysis, algebraic geometry, differential geometry, topology in two and three dimensions, Kleinian and Fuchsian groups, automorphic forms, complex dynamics, and ergodic theory. Recently, TeichmA1/4ller spaces have begun to play an important role in string theory. Imayoshi and Taniguchi have attempted to make the book as self-contained as possible. They present numerous examples and heuristic arguments in order to help the reader grasp the ideas of TeichmA1/4ller theory. The book will be an excellent source of information for graduate students and reserachers in complex analysis and algebraic geometry as well as for theoretical physicists working in quantum theory.