Quantum invariants of 3-manifolds and Poincaré conjecture

Details Quantum invariants of 3-manifolds and Poincaré conjecture Quantum invariants of 3-manifolds and Poincaré conjecture

2000-08-15

arxiv.org/abs/math/0008103v6

Mathematics

Quantum Algebra

61 pages, 10 figures

Scientific paper

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 Poincar\'{e} conjecture.

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