Positive Braid Links with Infinitely Many Fillings

Abstract

We prove that any positive braid Legendrian link not isotopic to a standard finite type link admits infinitely many exact Lagrangian fillings.

19 pages. arXiv admin note: substantial text overlap with arXiv:2008.10793

References in corpus (3)

• Quiver mutation and combinatorial DT-invariants
• Legendrian Weaves: N-graph Calculus, Flag Moduli and Applications
• Augmentations, Fillings, and Clusters

Cited by in corpus (2)

• Lagrangian fillings for Legendrian links of affine type
• A note on infinite number of exact Lagrangian fillings for spherical spuns