Double-point enhanced GRID invariants and Lagrangian cobordisms

Key Points

• To define an invariant related to Legendrian links and explore its implications on Lagrangian cobordisms.
• Defined an invariant within double-point enhanced grid homology of links.
• Analyzed implications for decomposable Lagrangian cobordisms.
• Explored the standard contact structure on R^3.
• The defined invariant serves as an obstruction to decomposable Lagrangian cobordisms.
• Findings contribute to understanding the structure of Legendrian links.