Proves the integer-coefficient surgery exact triangle in monopole Floer homology and derives a spectral sequence from odd Khovanov homology to the monopole Floer homology of the double branched cover, solving the Ozsváth-Rasmussen-Szabó conjecture.
arXiv preprint arXiv:2011.00113 , title =
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Singular instanton Floer homology produces exotic pairs of slice disks for a strongly invertible Z-slice knot whose symmetric disks stay exotic under stabilizations by definite 4-manifolds or projective planes.
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Monopole triangle over integers
Proves the integer-coefficient surgery exact triangle in monopole Floer homology and derives a spectral sequence from odd Khovanov homology to the monopole Floer homology of the double branched cover, solving the Ozsváth-Rasmussen-Szabó conjecture.
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Exotic disks and singular instanton Floer homology
Singular instanton Floer homology produces exotic pairs of slice disks for a strongly invertible Z-slice knot whose symmetric disks stay exotic under stabilizations by definite 4-manifolds or projective planes.