What the study found
The study confirms that each of the nine asymmetric L-space knots in the SnapPy census admits exactly two quasi-alternating surgeries. The confirmation is made using the Montesinos trick.
What the authors say this matters
The abstract says the purpose of the article is to confirm surgeries that were previously identified with the aid of a computer. The findings indicate that the authors verified those surgeries by a different method.
What the researchers tested
The authors examined the nine asymmetric L-space knots listed in the SnapPy census. They used the Montesinos trick to confirm the quasi-alternating surgeries.
What worked and what didn't
The abstract states that the surgeries were confirmed for each of the nine knots. It also states that each knot has exactly two quasi-alternating surgeries.
What to keep in mind
The available summary does not describe the details of the Montesinos trick or any limitations beyond the scope of the SnapPy census cases studied.
Key points
- The paper studies nine asymmetric L-space knots in the SnapPy census.
- Each of those knots is said to admit exactly two quasi-alternating surgeries.
- The authors confirm the surgeries using the Montesinos trick.
- The surgeries had previously been identified with the aid of a computer.
- The abstract does not describe further limitations or methodological detail.
Disclosure
- Research title:
- Nine asymmetric L-space knots have two quasi-alternating surgeries
- Image credit:
- Photo by Viktors Duks on Pexels
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