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

preprint2008arXivOpen access

Abstract

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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