On the Lagrangian fillability of almost positive links

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J. Korean Math. Soc. 2019; 56(3): 789-804

Online first article November 21, 2018 Printed May 1, 2019

Keiji Tagami

Tokyo University of Science

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In this paper, we prove that a link which has an almost positive diagram with a certain condition is Lagrangian fillable.

Keywords: knot, almost positive knot, Legendrian knot, Lagrangian filling, contact structure

MSC numbers: 57M25, 57R17

Supported by: This work was supported by JSPS KAKENHI Grant numbers 16H07230 and 18K13416.