Twisting Spun Knots
نویسنده
چکیده
1. Introduction. In [5] Mazur constructed a homotopy 4-sphere which looked like one of the strongest candidates for a counterexample to the 4-dimensional Poincaré Conjecture. In this paper we show that Mazur's example is in fact a true 4-sphere after all. This raises the odds in favour of the 4-dimensional Poincaré Conjecture. The proof involves a smooth knot of S2 in S4 with unusual properties.
منابع مشابه
2 00 3 All frame - spun knots are slice
Frame-spun knots are constructed by spinning a knot of lower dimension about a framed submanifold of S n. We show that all frame-spun knots are slice (null-cobordant).
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