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.
We have not been able to recognize your IP address
3.235.108.188
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.