Can the knot formation in complex plane curve around a singularity be related with the number of singularity inside corresponding closed surface?

01 February 2016 1 1K Report

Is the number of formatted knot in complex plane curve irrespective to the number of singularity present inside the closed curve?

Rogier Brussee

Yes. have a look at the book by Milnor, complex surface singularities and Brieskorn's book on Ebene algebraische Kurven.

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