Toeplitz Operators on Kahler Manifolds

The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz operators on Kahler manifolds, via examples, worked out carefully and in detail. Necessary background is included. Several theorems on asymptotics of Toeplitz operators are reviewed and illustrated by examples, including the case of tori and the 2-dimensional sphere. Applications in the context of multisymplectic and hyperkahler geometry are discussed. The book is suitable for graduate students, advanced undergraduate students, and any researchers.