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Rank inequalities for the Heegaard Floer homology of branched covers

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 نشر من قبل Robert Lipshitz
 تاريخ النشر 2020
  مجال البحث
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Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the relationship with the L-space conjecture and give some other topological applications, as well as an analogous result for sutured Floer homology.



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