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What is small?
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Classroom Contents
Mixing Surfaces, Algebra, and Geometry
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- 1 Intro
- 2 THE MAP OF MATHEMATIC
- 3 Simple Curves on Surfaces
- 4 A Theorem of Mirzakhani
- 5 Taffy Pullers
- 6 3-Pronged Taffy Puller
- 7 Why the Same Stretch Factor?
- 8 The Nielsen-Thurston Classification
- 9 Pseudo-Anosov Maps
- 10 The Mapping Class Group
- 11 Mapping torus
- 12 The Classification of 3-Manifolds
- 13 Moduli space
- 14 Lehmer's Problem
- 15 What is small?
- 16 Penner's examples
- 17 Long's Question
- 18 Multiple Fiberings
- 19 Small stretch factors and 3-manifolds
- 20 Where are the small stretch factors?
