In this chapter, Λ will denote a compact orientable two-dimensional manifold; for brevity we shall refer to such a Λ as a surface. If Λ has been given a conformal structure g, then the resulting Riemann surface will be denoted by (Λ, g). We shall suppose that the genus of Λ is at least two.
KeywordsRiemann Surface Boundary Curve Homotopy Class Conformal Structure Compact Riemann Surface
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