From the 1 of 8 linked papers with an AI index.
8 papers
The next-to-top term of the knot Floer homology of some non-fibered knots
Fraser Binns, Shunyu Wan
Sivek conjectured that the rank of knot Floer homology in the next-to-top Alexander grading is at least the rank in the top Alexander grading. Baldwin and Vela-Vick verified this c…
Real sutured Heegaard Floer homology
Fraser Binns, Gary Guth, Yonghan Xiao
The paper introduces a theory of real sutured manifolds and defines a real Heegaard Floer homology invariant for them, showing it can be computed combinatorially and has structural…
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…
(1,1) almost L-space knots
Fraser Binns, Hugo Zhou
We give a diagrammatic characterization of the knots in the three-sphere and lens spaces which admit large Dehn surgeries to manifolds with Heegaard Floer homology of next-…
Closures of -braids and detection
Fraser Binns
We give some new link detection results for link Floer homology, Khovanov homology and annular Khovanov homology. The links we detect arise via different closure operations on -…
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…