Quasiconformal Maps And Teichmller Theory (Oxford Graduate Texts In Mathematics)

Quasiconformal Maps And Teichmller Theory (Oxford Graduate Texts In Mathematics)

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Based on a series of graduate lectures given by Vladimir Markovic at the University of Warwick in spring 2003, this book is accessible to those with a grounding in complex analysis looking for an introduction to the theory of quasiconformal maps and Teichmller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Grtzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichmller spaces. Where proofs are omitted, references to where they may be found are always given, and the text is clearly illustrated throughout with diagrams, examples, and exercises for the reader.

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