What question did this study set out to answer?

To define an invariant related to Legendrian links and explore its implications on Lagrangian cobordisms.

December 21, 2025Open Access

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.

Abstract

We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectization of the standard contact structure on R³.

Double-point enhanced GRID invariants and Lagrangian cobordisms

Key Points

Abstract

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