Geodesic
Grid diagrams and shellability
Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 77-90.

Voir la notice de l'article provenant de la source International Press of Boston

We explore a somewhat unexpected connection between knot Floer homology and shellable posets, via grid diagrams. Given a grid presentation of a knot K inside S3, we define a poset which has an associated chain complex whose homology is the knot Floer homology of K. We then prove that the closed intervals of this poset are shellable. This allows us to combinatorially associate a PL flow category to a grid diagram.
DOI : 10.4310/HHA.2012.v14.n2.a5
Classification : 06A07, 57M25, 57R58
Keywords: knot Floer homology, shellable poset, grid diagram, flow category 
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Sucharit Sarkar. Grid diagrams and shellability. Homology, homotopy, and applications, Tome 14 (2012) no. 2, pp. 77-90. doi : 10.4310/HHA.2012.v14.n2.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2012.v14.n2.a5/

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