Floer lasagna modules from link Floer homology

preprint2022arXivOpen access

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.

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