Geometry and Topology of Surfaces

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	Frontmatter, Dedication, AcknowledgmentsDownload pp. i–x
	ContentsDownload p. ix
	IntroductionDownload pp. 1–2
1	Étude on the flat case: $S^{1} \times S^{1}$ pp. 3–6
2	Plane hyperbolic geometrypp. 7–12
3	Simple closed geodesics and systolespp. 13–18
4	Fenchel–Nielsen coordinates pp. 19–24
5	Dehn twistspp. 25–30
6	Normal generators for mapping class groups pp. 31–36
7	Measured foliations pp. 37–44
8	The $(9 g - 9)$ -theorem for measured foliationspp. 45–48
9	Compactification of Teichmüller space pp. 49–54
10	Classification of mapping classes pp. 55–60
11	Perron–Frobenius theorypp. 61–64
12	Pseudo-Anosov maps with small stretch factor pp. 65–70
	Bibliography pp. 71–74
	Index pp. 75–76