Ni, Yi (2021) A Characterization of T_(2g+1,2) among Alternating Knots. Acta Mathematica Sinica, English Series, 37 (12). pp. 1841-1846. ISSN 1439-8516. doi:10.1007/s10114-021-0408-4. https://resolver.caltech.edu/CaltechAUTHORS:20220112-559780400
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Abstract
Let K be a genus g alternating knot with Alexander polynomial Δ_K(T) = ∑^g_i = _(−g)a_iT^. We show that if |a_g| = |a_(g−1)|, then K is the torus knot T_(2g+1,±2). This is a special case of the Fox Trapezoidal Conjecture. The proof uses Ozsváth and Szabó’s work on alternating knots.
| Item Type: | Article | |||||||||
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| Alternate Title: | A Characterization of T2g+1,2 among Alternating Knots | |||||||||
| Additional Information: | © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2021. Received July 31, 2020, accepted May 31, 2021. Supported by NSF (Grant No. DMS-1811900). | |||||||||
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| Subject Keywords: | Alternating knots; Alexander polynomial; strongly quasipositive fibered knots | |||||||||
| Issue or Number: | 12 | |||||||||
| Classification Code: | MR(2010) Subject Classification: 57M25 | |||||||||
| DOI: | 10.1007/s10114-021-0408-4 | |||||||||
| Record Number: | CaltechAUTHORS:20220112-562342000 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20220112-559780400 | |||||||||
| Official Citation: | Ni, Y. A Characterization of T2g+1,2 among Alternating Knots. Acta. Math. Sin.-English Ser. 37, 1841–1846 (2021). https://doi.org/10.1007/s10114-021-0408-4 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 112851 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 12 Jan 2022 23:40 | |||||||||
| Last Modified: | 12 Jan 2022 23:40 |
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