Publications [#347403] of Lenhard L. Ng

Papers Published

1. 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.