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PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE

Publication ,  Journal Article
Baker, KL; Buck, D; Moore, AH; O’donnol, D; Taylor, S
Published in: Transactions of the American Mathematical Society Series B
January 1, 2025

We show that if a composite θ-curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial θ-curve. We also prove similar results for 2-strand tangles and knotoids

Duke Scholars

Published In

Transactions of the American Mathematical Society Series B

DOI

EISSN

2330-0000

Publication Date

January 1, 2025

Volume

12

Start / End Page

276 / 297
 

Citation

APA
Chicago
ICMJE
MLA
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Baker, K. L., Buck, D., Moore, A. H., O’donnol, D., & Taylor, S. (2025). PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE. Transactions of the American Mathematical Society Series B, 12, 276–297. https://doi.org/10.1090/btran/217
Baker, K. L., D. Buck, A. H. Moore, D. O’donnol, and S. Taylor. “PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE.” Transactions of the American Mathematical Society Series B 12 (January 1, 2025): 276–97. https://doi.org/10.1090/btran/217.
Baker KL, Buck D, Moore AH, O’donnol D, Taylor S. PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE. Transactions of the American Mathematical Society Series B. 2025 Jan 1;12:276–97.
Baker, K. L., et al. “PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE.” Transactions of the American Mathematical Society Series B, vol. 12, Jan. 2025, pp. 276–97. Scopus, doi:10.1090/btran/217.
Baker KL, Buck D, Moore AH, O’donnol D, Taylor S. PRIMALITY OF THETA-CURVES WITH PROPER RATIONAL TANGLE UNKNOTTING NUMBER ONE. Transactions of the American Mathematical Society Series B. 2025 Jan 1;12:276–297.

Published In

Transactions of the American Mathematical Society Series B

DOI

EISSN

2330-0000

Publication Date

January 1, 2025

Volume

12

Start / End Page

276 / 297