Monotone Lagrangian Floer theory in smooth divisor complements: III

TL;DR

This paper completes the construction of Floer homology for monotone Lagrangians in the complements of smooth divisors, advancing the understanding of intersection Floer theory in these geometric settings.

Contribution

It finalizes the Floer homology construction for Lagrangians in smooth divisor complements, building on previous work in the series.

Findings

Floer homology construction is completed for these Lagrangians

Provides foundational tools for further studies in symplectic geometry

Enhances understanding of intersection theory in divisor complements

Abstract

This is the third paper in a series of papers studying intersection Floer theory of Lagrangians in the complement of a smooth divisor. We complete the construction of Floer homology for such Lagrangians.