Geodesic
Heegaard--Floer homology of a~link with trivial component
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XV, Tome 344 (2007), pp. 37-55

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In this paper we prove a theorem that allows one to evaluate the Heegaard–Floer homology of a link with trivial component added through the Heegaard–Floer homology of the initial link. 
@article{ZNSL_2007_344_a1,
     author = {M. V. Karev},
     title = {Heegaard--Floer homology of a~link with trivial component},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {37--55},
     publisher = {mathdoc},
     volume = {344},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_344_a1/}
}
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M. V. Karev. Heegaard--Floer homology of a~link with trivial component. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial methods. Part XV, Tome 344 (2007), pp. 37-55. http://geodesic.mathdoc.fr/item/ZNSL_2007_344_a1/