TY  - GEN
AU  - Fletcher, Alastair
AU  - Markovic, Vladimir
TI  - Quasiconformal maps and Teichmüller theory
T2  - Oxford Graduate Texts in Mathematics
SN  - 9780198569268
U1  - 515.94 FLE 
PY  - 2006///
CY  - Oxford
PB  - Oxford University Press
KW  - Geometric
KW  - Teichmüller spaces
KW  - Holomorphic motion
KW  - Quasi-isometries
KW  - Unique extremality
N1  - Includes Index
N2  - Cover
Quasiconformal Maps and Teichmüller Theory
Alastair Fletcher and Vladimir Markovic
Oxford Graduate Texts in Mathematics
Description
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 Teichmüller theory. Assuming some familiarity with Riemann surfaces and hyperbolic geometry, topics covered include the Grötzch argument, analytical properties of quasiconformal maps, the Beltrami differential equation, holomorphic motions and Teichmüller 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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ER  -