arxiv:2406.14311

A Heegaard-Floer TQFT for link cobordisms

Published on Jun 20, 2024

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Abstract

A Heegaard-Floer homology functor is introduced from links and cobordisms in 3- and 4-manifolds to F[v]-modules, independent of decorations.

AI-generated summary

We introduce a Heegaard-Floer homology functor from the category of oriented links in closed 3-manifolds and oriented surface cobordisms in 4-manifolds connecting them to the category of F[v]-modules and F[v]-homomorphisms between them, where F is the field with two elements. In comparison with previously defined TQFTs for decorated links and link cobordisms, the construction of this paper has the advantage of being independent from the decoration. Some of the basic properties of this functor are also explored.

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