Ricci Flow and the Poincare Conjecture

TL;DR

This paper provides a detailed, revised proof of the Poincare Conjecture based on Ricci flow, expanding on Perelman's original arguments and incorporating referee feedback.

Contribution

It offers an expanded, referee-reviewed version of Perelman's proof of the Poincare Conjecture, formatted in AMS style.

Findings

Complete proof of the Poincare Conjecture using Ricci flow

Refined and clarified arguments from Perelman's original preprints

Incorporated referee comments for improved rigor

Abstract

This manuscript contains a detailed proof of the Poincare Conjecture. The arguments we present here are expanded versions of the ones given by Perelman in his three preprints posted in 2002 and 2003. This is a revised version taking in account the comments of the referees and others. It has been reformatted in the AMS book style.