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Rationally slice knots that are not biprojectively H-slice
We show that rationally slice knots need not be biprojectively H-slice (BPH-slice), answering a question in the study of the rational knot concordance group. Our main tool is a lattice embedding obstruction to H-sliceness in $\#^n\mathbb{CP}^2$ for knots with vanishing signature, extending work of K
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