|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'506'133
Articles rated: 2609
27 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Tight fibered knots and band sums | | Kenneth L. Baker
; Kimihiko Motegi
; | | Date: |
1 Sep 2015 | | Abstract: | We give a short proof that if a non-trivial band sum of two knots results in
a tight fibered knot, then the band sum is a connected sum. In particular, this
means that any prime knot obtained by a non-trivial band sum is not tight
fibered. Since a positive L-space knot is tight fibered, a non-trivial band sum
never yields an L-space knot. Consequently, any knot obtained by a non-trivial
band sum cannot admit a finite surgery.
For context, we exhibit two examples of non-trivial band sums of tight
fibered knots producing prime knots: one is fibered but not tight, and the
other is strongly quasipositive but not fibered. | | Source: | arXiv, 1509.0121 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER