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A Lean Formalization of the Hamilton--Perelman Proof of the Three-Dimensional Poincaré Conjecture

Ziyang Qin, Yuan Liao, Ayush Khaitan and Bennett Chow

Published
Source
OpenAlex
Published in
arXiv (Cornell University)
DOI
10.48550/arxiv.2609.33842
Original
Read it at the publisher
Topics
Artificial IntelligenceGeometric TopologyNumerical Analysis

Abstract

We formalize the smooth three-dimensional Poincaré conjecture, together with the Moise smoothing theorem, yielding the topological three-dimensional Poincaré conjecture. The smooth proof follows the Hamilton--Perelman route through Ricci flow with surgery and finite-time extinction.

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