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Milnor fibration and fibred links at infinity. (English) Zbl 0941.32030

The author studies the problems of Milnor fibration and fibred links at infinity. The author proves that a multilink \(K_0 =f^{-1}(0) \cap S_{R}^3\) is fibred if and only if all values are regular at infinity. By using the resolution of singularities at infinity, the author also gives a new proof of a theorem of A. Nemethi and A.Zaharias which states that if there is no critical value at infinity outside \(c=0\), then in the homotopy class of \(\frac {f}{|f|}: S_R^3 \backslash f^{-1}(0) \rightarrow S^1\), there exists a fibration.

MSC:

32S55 Milnor fibration; relations with knot theory
57M25 Knots and links in the \(3\)-sphere (MSC2010)
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