Quantum invariants of 3-manifolds and Poincaré conjecture

2000/08/15 by Sze Kui Ng, Ng, Sze Kui · 1 citation
Mathematics · #57M27(Primary) 51P05 #81T10 #81T40(Secondary) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA) #math.GT #math.QA #msc:51P05 #msc:81T10

paper · pdf · doi:10.48550/arxiv.math/0008103

61 pages, 10 figures

arxiv created 2006/07/31 · arxiv updated 2016/09/07

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.

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• Quantum Knots and Riemann Hypothesis

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