The (untwisted) oriented cube of resolutions for knot Floer homology assigns a complex
to a singular
resolution
of a knot
. Manolescu conjectured
that when
is in braid
position, the homology
is isomorphic to the
homfly-pthomology of
.
Together with a naturality condition on the induced edge maps, this
conjecture would prove the existence of a spectral sequence from
homfly-pt
homology to knot Floer homology. Using a basepoint filtration on
,
a recursion formula for
homfly-pthomology and additional
–like
differentials on
,
we prove Manolescu’s conjecture. The naturality condition remains open.
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