Floer lasagna modules from link Floer homology

TL;DR

This paper introduces Floer lasagna modules, inspired by skein lasagna modules, using link Floer homology to study 4-manifolds and compute specific examples.

Contribution

It presents a new construction of Floer lasagna modules based on link Floer homology, extending previous skein-based approaches.

Findings

Description of Floer lasagna modules for 4-manifolds with 2-handles

Computed examples demonstrating the construction

Connection to link Floer homology techniques

Abstract

In this paper, we introduce the notion of Floer lasagna modules, which is inspired by the construction of skein lasagna module in [MWW19] by Morrison, Walker and Wedrich. Here we use link Floer homology instead of Khovanov-Rozansky homology. We give a description of the Floer lasagna module for 4-manifolds obtained by adding 2-handles to the 4-ball and we compute some examples.