3
$\begingroup$

As far as I know, 1-surgery on the figure-eight knot gives ($\pm$) the Brieskorn sphere $\Sigma(2,3,7)$. However, is there a citeable source for this? Sometimes Thurston's notes are mentioned, but I couldn't find a statement that the result of the surgery is this particular space.

$\endgroup$
3
$\begingroup$

I'm not sure what might be the earliest spot where it's mentioned, but you could refer Example 1.4 from Saveliev's book "Invariants of Homology 3-Spheres".

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.