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Floer lasagna modules from link Floer homology

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arxiv 2203.07650 v1 pith:6VBGKBLX submitted 2022-03-15 math.GT

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keywords floerlasagnahomologylinkmodulemodulesaddingball
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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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  1. From Link Homology to Topological Quantum Field Theories

    math.QA 2025-09 accept novelty 2.0 of 10

    A survey of how link homology theories extend to 4-manifold invariants called skein lasagna modules, which can distinguish exotic smooth structures.

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