Unknotted curves on genus-one Seifert surfaces of Whitehead doubles
(2024)
Journal Article
Dey, S., King, V., Shaw, C. T., Tosun, B., & Trace, B. (2024). Unknotted curves on genus-one Seifert surfaces of Whitehead doubles. Pacific Journal of Mathematics, 330(1), 123-156. https://doi.org/10.2140/pjm.2024.330.123
We consider homologically essential simple closed curves on Seifert surfaces of genus-one knots in S3, and in particular those that are unknotted or slice in S3. We completely characterize all such curves for most twist knots: they are either positiv... Read More about Unknotted curves on genus-one Seifert surfaces of Whitehead doubles.