This text provides a comprehensive introduction to Berezin-Toeplitz
operators on compact Kahler 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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