Constructing framed 4-manifolds with given almost framed boundaries

Kaplan, Steve J.

doi:10.1090/S0002-9947-1979-0539917-X

Constructing framed $4$-manifolds with given almost framed boundaries
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by Steve J. Kaplan

Trans. Amer. Math. Soc. 254 (1979), 237-263

DOI: https://doi.org/10.1090/S0002-9947-1979-0539917-X

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Abstract:

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 $\mu$-in-variant of a knot and this description is used to study almost framed 3-manifolds.

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