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Local surgery formulas for quantum invariants and the Arf invariant
Robion Kirby and Paul Melvin
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Geometry & Topology Monographs 7 (2004) 213–233 |
Abstract |
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A formula for the Arf invariant of a link is given in terms of the singularities of an
immersed surface bounded by the link. This is applied to study the computational
complexity of quantum invariants of 3–manifolds.
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Keywords
Arf invariants, quantum invariants, mu invariants, surgery, immersed surfaces, P/NP, complexity
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Mathematical Subject Classification
Primary: 57M27
Secondary: 68Q15
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Publication
Received: 15 October 2003
Revised: 2 January 2004
Accepted: 10 December 2003
Published: 19 September 2004
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