
Two methods are presented for constructing framed 4-manifolds with given almost framed boundaries. The main tools are the “moves” of Kirby’s calculus of framed links. A new description is given for the μ \mu -in-variant of a knot and this description is used to study almost framed 3-manifolds.
index, framed 4-manifold, calculus of framed links, intersections of triples of Seifert surfaces, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), singular ribbon, Arf invariant, almost parallelizable 4- manifold, surgery on some framed link in S3, Other types of cobordism, Knots and links in the \(3\)-sphere, 2nd number, Surgery and handlebodies, framed 4- manifold
index, framed 4-manifold, calculus of framed links, intersections of triples of Seifert surfaces, Specialized structures on manifolds (spin manifolds, framed manifolds, etc.), singular ribbon, Arf invariant, almost parallelizable 4- manifold, surgery on some framed link in S3, Other types of cobordism, Knots and links in the \(3\)-sphere, 2nd number, Surgery and handlebodies, framed 4- manifold
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