Titlebook: A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds; Yohann Le Floch Textbook 2018 Springer Nature Switzerland

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https://doi.org/10.1007/978-3-319-94682-5Kahler manifolds; complexified tangent bundle; complex line bundles; quantization compact Kahler manifo

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978-3-030-06898-1Springer Nature Switzerland AG 2018

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A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds978-3-319-94682-5Series ISSN 2522-5200 Series E-ISSN 2522-5219

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Advances in Orthopedic Surgery of the Knees. Let .be the completion of the space of smooth sections of . with respect to the inner product . introduced earlier, and let .be the orthogonal projector from . to .. This projector is often called the ..

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Masatomo So,Yuichi Yoshimura,Yuji GotoIn this chapter, we recall some general facts about complex and Kähler manifolds. It is not an exhaustive list of such facts, but rather an introduction of objects and properties that we will need in the rest of the notes. The interested reader might want to take a look at some standard textbooks, such as [24, 35] for instance.

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Masatomo So,Yuichi Yoshimura,Yuji GotoLet us now recall some facts about complex line bundles. A certain number of definitions and properties could be stated for general vector bundles, but we prefer to focus on the one-dimensional case, since this is the case that will be encountered in the following sections.