Quantum invariants of 3-manifolds and Poincaré conjecture

Abstract

A new quantum gauge model is proposed. From this quantum gauge model we derive a quantum invariant of 3-manifolds. We show that this quantum invariant of 3-manifolds gives a classification of closed (orientable and connected) 3-manifolds. From this classification we then prove the Poincaré conjecture.

arXiv comment61 pages, 10 figures

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