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LECTURES ON THE MAPPING CLASS GROUP OF A SURFACE

In these lectures, we give the proofs of two basic theorems on surface topology, namely, the work of Dehn and Lickorish on generating the mapping class group of a surface by Dehn-twists; and the work of Dehn and Nielsen on relating self-homeomorphisms of a surface and automorphisms of the fundamental group of the surface. Some of the basic materials on hyperbolic geometry and large scale geometry are introduced.