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Long-time behavior of 3–dimensional Ricci flow, A : Generalizations of Perelman’s long-time estimates

Long-time behavior of 3–dimensional Ricci flow, A : Generalizations of Perelman’s long-time estimates

This is the first of a series of papers on the long-time behavior of 3-dimensional Ricci flows with surgery.We first fix a notion of Ricci flows with surgery, which will be used in this and the following three papers.Then we review Perelman's long-time estimates and generalize them to the case …