Adding a -handle to a -manifold: an application to property
Proc. Amer. Math. Soc. 92 (1984), 288-292
Primary 57N10; Secondary 57M25
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Abstract: A sufficient condition is given for adding a -handle to a -manifold and obtaining a -manifold with incompressible boundary. The main result is then used to show that a knot in the -sphere admitting a partially unknotted spanning surface has Property .
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J. Przytycki, Incompressible surfaces in -manifolds, Thesis, Columbia University, 1981.
- R. Kirby and P. Melvin, Slice knots and property , Invent. Math. 45 (1978), 57-59. MR 0467754 (57:7606)
- H. Lambert. Longitude surgery on genus one knots, Proc Amer. Math. Soc. 63 (1977), 359-362. MR 0438322 (55:11238)
- L. Moser, On the impossibility of obtaining by elementary surgery along a knot, Pacific J. Math. 53 (1974), 519-523. MR 0358756 (50:11215)
- J. Przytycki, Incompressible surfaces in -manifolds, Thesis, Columbia University, 1981.
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