Geometry and spectra of compact Riemann surfaces

Table of Contents

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   Book Overview
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   Chapter 1 Hyperbolic Structures
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   Chapter 2 Trigonometry
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   Chapter 3 Y-Pieces and Twist Parameters
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   Chapter 4 The Collar Theorem
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   Chapter 5 Bers’ Constant and the Hairy Torus
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   Chapter 6 The Teichmüller Space
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   Chapter 7 The Spectrum of the Laplacian
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   Chapter 8 Small Eigenvalues
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    Chapter 9 Closed Geodesics and Huber’s Theorem
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    Chapter 10 Wolpert’s Theorem
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    Chapter 11 Sunada’s Theorem
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    Chapter 12 Examples of Isospectral Riemann Surfaces
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    Chapter 13 The Size of Isospectral Families
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    Chapter 14 Perturbations of the Laplacian in Teichmüller Space