Reference about the surgery of Ricci flow I roughly read the Topping's _LECTURES ON THE RICCI FLOW_. There does not seem to be an introduction on surgery. Seemly, it is enough to deal singularity by blow up. Then, in order to know surgery, I read the Perelman's _Ricci flow with surgery on three-manifold_. But it is not easy to read. Are there any books that introduce the surgery, and likely to Topping's book (I feel Topping's book is friendly to read) ?

A group of five mathematicians (Bessières, Besson, Boileau, Maillot and Porti) have written a book aiming to give a complete proof of the Geometrisation Conjecture from pre-Perelman's results.

As such, they present a version of Ricci flow with surgery. I hope the book will appear suitable to you (I haven't read it in detail, but the introduction and first chapters seem remarkably clear to me).