2 papers
math.GT2004
Local surgery formulas for quantum invariants and the Arf invariant
Robion Kirby, Paul Melvin
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 o…
math.GT1999
Canonical framings for 3-manifolds
Rob Kirby, Paul Melvin
Canonical framings and stable framings for the tangent bundle of a spin 3-manifold are introduced, and illustrated by a number of familiar examples. Methods for constructing canoni…