z
- w3
Notes:
- As with all of these, note that the link never changes during the fibration.
- This is not really an example of Milnor's Fibration
Theorem,
since this function does not have a singularity at the origin.
However, we can do the same process, and we still get a
fibration.
- The link is a (1, 3)-torus link, which is just a trivial
knot.
- The genus of the "double fiber + link" is
(1-1)(3-1) = 0, which means it is topologically a sphere.
- If I used the function z-w,
I would get pictures that are topologically equivalent. The
link
would be a circle and the double fibers would be spheres. I
thought this example looked more interesting, even though it is
technically the same.
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Created
by Dan Dreibelbis. Last modified 7/18/10.