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Shreya Sinha
The non-orientable four-ball genus of a new infinite family of torus knots
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| Published: |
November 12, 2025. |
| Keywords: |
Torus knots, non-orientable four-ball genus of knots, Batson's conjecture. |
| Subject [2020]: |
57K10. |
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Abstract
We extend previous work by using a combination of band surgeries and known bounds to compute the non-orientable four-ball genus of a new infinite family of torus knots. All knots in this family, with the exception of T4, 3, are counterexamples to Batson's conjecture.
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| Acknowledgements
This work was supported by a grant from the Princeton Summer Program for Mathematics Majors program in 2025.
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| Author information
Shreya Sinha
Department of Mathematics
Princeton University
Princeton, NJ 08544, USA
ss2340@princeton.edu
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