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math.GT2025
On Heegaard Floer minimal knots in sutured manifolds
Fraser Binns
Li-Xie-Zhang classified instanton Floer minimal knots in balanced sutured manifolds subject to a condition on the fundamental group. In this paper, we give a similar classification…
math.GT2025
Degree-1 maps and rank inequalities in Heegaard Floer homology
Fraser Binns, Sudipta Ghosh
Ghosh-Sivek-Zentner constructed degree-1 maps from certain rational homology solid tori to the twisted -bundle over the Klein bottle. We show that these maps yield rank inequali…