EAN: 9783030068981

A BRIEF INTRODUCTION TO BEREZIN-TOEPLITZ OPERAT...

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kähler
manifolds. The heart of the book is devoted to a proof of the main properties of these
operators which have been playing a significant role in various areas of mathematics such as
complex geometry  topological quantum field theory  integrable systems  and the study of links
between symplectic topology and quantum mechanics. The book is carefully designed to supply
graduate students with a unique accessibility to the subject. The first part contains a review
of relevant material from complex geometry. Examples are presented with explicit detail and
computation  prerequisites have been kept to a minimum. Readers are encouraged to enhance their
understanding of the material by working through the many straightforward exercises.

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