Published December 2021
| public
Journal Article
A Characterization of T_(2g+1,2) among Alternating Knots
- Creators
- Ni, Yi
Chicago
An error occurred while generating the citation.
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.
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).Additional details
- Alternative title
- A Characterization of T2g+1,2 among Alternating Knots
- Eprint ID
- 112851
- DOI
- 10.1007/s10114-021-0408-4
- Resolver ID
- CaltechAUTHORS:20220112-559780400
- NSF
- DMS-1811900
- Created
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2022-01-12Created from EPrint's datestamp field
- Updated
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2022-07-25Created from EPrint's last_modified field