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arXiv 2017-08-23 1 views

Knot theory of Morse-Bott critical loci

Ozsarfati, Metin

Original · EN

We give an alternative proof of that a critical knot of a Morse-Bott function f: S³ → R is a graph knot where the critical set of f is a link in S³. Our proof inducts on the number of index-1 critical knots of f.

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