This is a survey article about L 2 estimates for the ¯ ∂ operator. After a review of the basic approach that has come to be called the " Bochner-Kodaira Technique " , the focus is on twisted techniques and their applications to estimates for ¯ ∂, to L 2 extension theorems, and to other problems in complex analysis and geometry including invariant metric… (More)

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