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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Two detection results of Khovanov homology on links
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by Zhenkun Li, Yi Xie and Boyu Zhang PDF
Trans. Amer. Math. Soc. 374 (2021), 6649-6664 Request permission

Abstract:

We prove that Khovanov homology with $\mathbb {Z}/2$–coefficients detects the link L7n1 and detects the union of a trefoil and its meridian.
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Additional Information
  • Zhenkun Li
  • Affiliation: Department of Mathematics, Stanford University, California 94305
  • MR Author ID: 1252899
  • ORCID: 0000-0002-0217-4173
  • Email: zhenkun@stanford.edu
  • Yi Xie
  • Affiliation: Beijing International Center for Mathematical Research, Peking University, Beijing 100871, People’s Republic of China
  • ORCID: 0000-0001-8857-4284
  • Email: yixie@pku.edu.cn
  • Boyu Zhang
  • Affiliation: Department of Mathematics, Princeton University, New Jersey 08544
  • MR Author ID: 1284956
  • Email: bz@math.princeton.edu
  • Received by editor(s): July 28, 2020
  • Received by editor(s) in revised form: January 29, 2021
  • Published electronically: June 16, 2021
  • Additional Notes: The first author was supported by his advisor Tom Mrowka’s NSF Grant 1808794. The second author was supported by National Key R&D Program of China 2020YFA0712801 and NSFC 12071005
  • © Copyright 2021 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 374 (2021), 6649-6664
  • MSC (2020): Primary 57R58, 57K18
  • DOI: https://doi.org/10.1090/tran/8414
  • MathSciNet review: 4302172