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Publications [#347403] of Lenhard L. Ng
Papers Published
- Chantraine, B; Ng, L; Sivek, S, Representations, sheaves and Legendrian (2,m) torus links,
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, vol. 100 no. 1
(August, 2019),
pp. 41-82, WILEY [doi]
(last updated on 2024/04/17)
Abstract: © 2018 London Mathematical Society We study an A∞ category associated to Legendrian links in R3 whose objects are n-dimensional representations of the Chekanov–Eliashberg differential graded algebra of the link. This representation category generalizes the positive augmentation category and we conjecture that it is equivalent to a category of sheaves of microlocal rank n constructed by Shende, Treumann and Zaslow. We establish the cohomological version of this conjecture for a family of Legendrian (2,m) torus links.
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