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Abstract

Let 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.

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Notes

  1. 1.

    Our Hermitian inner products are linear in the left variable and semilinear in the right variable.

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Correspondence to Yohann Le Floch .

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Le Floch, Y. (2018). Complex Line Bundles with Connections. In: A Brief Introduction to Berezin–Toeplitz Operators on Compact Kähler Manifolds. CRM Short Courses. Springer, Cham. https://doi.org/10.1007/978-3-319-94682-5_3

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