Skip to main content
Another ref
Source Link
Sam Nead
  • 28.2k
  • 5
  • 72
  • 133

The answer is "yes". See Corollary 2 on page 119 of Thurston's article A norm for the homology of 3-manifolds. (Furthermore

In fact, fibered knots fibre in exactly one way. And all minimal genus Seifert surfaces (for a fixed fibered knot) are isotopic.


Since Thurston's paper is not immediately and obviously available online (?), I googled around and found A survey of the Thurston norm. See Example 2.4 therein.

The answer is "yes". See Corollary 2 on page 119 of Thurston's article A norm for the homology of 3-manifolds. (Furthermore, fibered knots fibre in exactly one way. And all minimal genus Seifert surfaces (for a fixed fibered knot) are isotopic.)

The answer is "yes". See Corollary 2 on page 119 of Thurston's article A norm for the homology of 3-manifolds.

In fact, fibered knots fibre in exactly one way. And all minimal genus Seifert surfaces (for a fixed fibered knot) are isotopic.


Since Thurston's paper is not immediately and obviously available online (?), I googled around and found A survey of the Thurston norm. See Example 2.4 therein.

Source Link
Sam Nead
  • 28.2k
  • 5
  • 72
  • 133

The answer is "yes". See Corollary 2 on page 119 of Thurston's article A norm for the homology of 3-manifolds. (Furthermore, fibered knots fibre in exactly one way. And all minimal genus Seifert surfaces (for a fixed fibered knot) are isotopic.)