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Teichmüller Space

Teichmüller's Theorem asserts the Existence and Uniqueness of the extremal quasiconformal map between two compact Riemann Surfaces of the same Genus modulo an Equivalence Relation. The equivalence classes form the Teichmüller space $T_p$ of compact Riemann Surfaces of Genus $p$.

See also Riemann's Moduli Problem

© 1996-9 Eric W. Weisstein