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Heegaard Floer homology and plane curves with non-cuspidal singularities
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abstract
We study possible configurations of singular points occuring on general algebraic curves in $\mathbb{C}P^2$ via Floer theory. To achieve this, we describe a general formula for the $H_{1}$-action on the knot Floer complex of the knotification of a link in $S^3$, in terms of natural actions on the link Floer complex of the original link. This result may be interest on its own.
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Cited by 1 Pith paper
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L-space satellite operators and knot Floer homology
For satellites whose pattern link is a 2-component L-space link, the full knot Floer complex is computed from the companion's complex and the pattern's Alexander polynomials.
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