Compact Riemann Surfaces
Publication year: 2006
ISBN: 978-3-540-33067-7
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Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics. It can serve as an introduction to contemporary mathematics as a whole as it develops background material from algebraic topology, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. It is unique among textbooks on Riemann surfaces in including an introduction to Teichmüller theory.
Subject: Mathematics and Statistics, Riemann surfaces, Riemann-Roch theorem, Teichmüller theory, differential geometry, harmonic maps, hyberbolic geometry, hyperbolic geometry
