A Strict Proof of the Poincaré Conjecture-By Zitai Qin

# A Strict Proof of the Poincaré Conjecture **Author**: Zitai Qin **Date**: May 25, 2026 **License**: CC-BY-4.0 ## Abstract This paper provides a complete, rigorous, purely combinatorial–topological proof of the Poincaré Conjecture and the Thurston Geometrization Conjecture for closed 3-manifolds, independent of Ricci flow methods. ## Contents - main.tex: LaTeX source code - main.pdf: Compiled paper - LICENSE: Creative Commons license - citation.bib: BibTeX reference ## Usage Compile main.tex with pdfLaTeX to generate the final PDF. ## Subject Field Mathematics / Geometric Topology / 3-Manifolds ## MSC 2020 57M05, 57M10, 57N10, 57N35, 57R65, 57R80。 Creative Commons Attribution 4.0 International (CC BY 4.0) You are free to: - Share — copy and redistribute the material in any medium or format - Adapt — remix, transform, and build upon the material for any purpose, even commercially. Under the following terms: Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made.