Slicing planar grid diagrams: a gentle introduction to bordered Heegaard Floer homology

Mathematics – Geometric Topology

Scientific paper

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25 pages, 9 figures

Scientific paper

We describe some of the algebra underlying the decomposition of planar grid
diagrams. This provides a useful toy model for an extension of Heegaard Floer
homology to 3-manifolds with parametrized boundary. This paper is meant to
serve as a gentle introduction to the subject, and does not itself have
immediate topological applications.

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