The complex analytic theory of Teichmüller spaces PDF
By:Subhashis Nag
Published on 1988-03-03 by Wiley-Interscience
An accessible, self-contained treatment of the complex structure of the Teichm?ller moduli spaces of Riemann surfaces. Complex analysts, geometers, and especially string theorists (!) will find this work indispensable. The Teichm?ller space, parametrizing all the various complex structures on a given surface, itself carries (in a completely natural way) the complex structure of a finite- or infinite-dimensional complex manifold. Nag emphasizes the Bers embedding of Teichm?ller spaces and deals with various types of complex-analytic co?rdinates for them. This is the first book in which a complete exposition is given of the most basic fact that the Bers projection from Beltrami differentials onto Teichm?ller space is a complex analytic submersion. The fundamental universal property enjoyed by Teichm?ller space is given two proofs and the Bers complex boundary is examined to the point where totally degenerate Kleinian groups make their spectacular appearance. Contains much material previously unpublished.
This Book was ranked at 19 by Google Books for keyword Analytic.
Book ID of The complex analytic theory of Teichmüller spaces's Books is SC7vAAAAMAAJ, Book which was written bySubhashis Naghave ETAG "s3hRhUhS1A0"
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