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On link invariants and topological string amplitudes. (English) Zbl 1097.81742
Summary: We explicitly show that the new polynomial invariants for knots, upto nine crossings, agree with the Ooguri-Vafa conjecture relating Chern-Simons gauge theory to topological string theory on the resolution of the conifold.

MSC:
81T45 Topological field theories in quantum mechanics
57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
81T13 Yang-Mills and other gauge theories in quantum field theory
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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