z3 - w4
Notes:
- As with all of these, note that the link (which is the
boundary
between the red and green fibers) never changes during the
rotation.
- The link is a (3, 4)-torus link, which is knot.
- The genus of the "double fiber + link" is
(3-1)(4-1) = 6.
- I could continue with this process and draw the fibrations of
functions with higher and higher genus. However, the "bulging at
the ends" that you can see in the (3, 3) and (3, 4) examples gets
worse, and the pictures become less impressive, even though they are
more complicated.
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Created
by Dan Dreibelbis. Last modified 3/17/09.