The Complex Analytic Theory of Teichmuller Spaces (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts) 1st Edition by Subhashis Nag (PDF)

Description

An accessible, self-contained treatment of the complex structure of the Teichmüller moduli spaces of Riemann surfaces. Complex analysts, geometers, and especially string theorists (!) will find this work indispensable. The Teichmüller 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 Teichmüller spaces and deals with various types of complex-analytic coördinates 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 Teichmüller space is a complex analytic submersion. The fundamental universal property enjoyed by Teichmüller 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 Contains much material previously unpublished.

User’s Reviews

Editorial Reviews: From the Publisher An accessible, self-contained treatment of the complex structure of the Teichmuller moduli spaces of Riemann surfaces. Complex analysts, geometers, and especially string theorists (!) will find this work indispensable. The Teichmuller 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 Teichmuller spaces and deals with various types of complex-analytic coordinates 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 Teichmuller space is a complex analytic submersion. The fundamental universal property enjoyed by Teichmuller 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 Contains much material previously unpublished.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a very good text for researchers who wish to understand the analytic and geometric aspects of the problem of constructing moduli spaces for curves(Riemann surfaces). Much of the work in this direction has been algebraic in nature, and this book presents a very good complement to that direction by stressing on the analytic aspects of the theory. I feel this book gives more intuition than do many algebraic treatments of the subject, and Prof. Nag is a very good expositor who seeks out the more beautiful connections in the theory and provides them as nuggets of mathematical beauty throughout the book. Highly recommended.

⭐very good price, quick deliver, great book I was looking for it a long time at last I have got it

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