Local surgery formulas for quantum invariants and the Arf invariant

2004/10/15 by Robion Kirby, Paul Melvin · 1 citation
Mathematics · #math.GT #math.AT #msc:57M27 #msc:68Q15

paper · pdf

published as Geom. Topol. Monogr. 7 (2004) 213-233 · Published by Geometry and Topology Monographs at http://www.maths.warwick.ac.uk/gt/GTMon7/paper9.abs.html

arxiv created 2004/10/15 · arxiv updated 2009/12/01

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.

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