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Creators/Authors contains: "Borodzik, Maciej"

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  1. ; ; (, Journal of the European Mathematical Society)
    We define a link lattice complex for plumbed links, generalizing constructions of Ozsváth, Stipsicz and Szabó, and of Gorsky and Némethi. We prove that for all plumbed links in rational homology 3-spheres, the link lattice complex is homotopy equivalent to the link Floer complex as anA_{\infty}-module. Additionally, we prove that the link Floer complex of a plumbed L-space link is a free resolution of its homology. As a consequence, we give an algorithm to compute the link Floer complexes of plumbed L-space links, in particular of algebraic links, from their multivariable Alexander polynomial. 
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    Free, publicly-accessible full text available December 4, 2025
  2. ; ; (, Algebraic & Geometric Topology)
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  3. ; (, Mathematical Proceedings of the Cambridge Philosophical Society)
    null (Ed.)
    Abstract Given an L –space knot we show that its ϒ function is the Legendre transform of a counting function equivalent to the d –invariants of its large surgeries. The unknotting obstruction obtained for the ϒ function is, in the case of L –space knots, contained in the d –invariants of large surgeries. Generalisations apply for connected sums of L –space knots, which imply that the slice obstruction provided by ϒ on the subgroup of concordance generated by L –space knots is no finer than that provided by the d –invariants. 
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  4. ; (, Indiana University Mathematics Journal)
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