Geometry & Topology Monographs 7 (2004) 213–233

DOI: 10.2140/gtm.2004.7.213

Abstract

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.

Keywords

Arf invariants, quantum invariants, mu invariants, surgery, immersed surfaces, P/NP, complexity

Mathematical Subject Classification

Primary: 57M27

Secondary: 68Q15

References

Publication

Received: 15 October 2003
Revised: 2 January 2004
Accepted: 10 December 2003
Published: 19 September 2004

Authors