On the Lagrangian fillability of almost positive links

TL;DR

This paper proves that certain links with almost positive diagrams satisfying specific conditions are Lagrangian fillable, advancing understanding in symplectic and contact topology.

Contribution

It establishes a new criterion for Lagrangian fillability based on the diagram properties of almost positive links.

Findings

Identifies conditions under which almost positive links are Lagrangian fillable.

Provides a proof linking diagram properties to symplectic fillability.

Enhances classification of Lagrangian fillable links.

Abstract

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