7 papers · 1 filter
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
We develop a theory of real sutured manifolds and a real Heegaard Floer theory for these manifolds. We develop a notion of real nice diagrams, and prove that our invariant is combi…
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…
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…
Studying links via booklinks: A Markov theorem
Roman Aranda, Fraser Binns, Margaret Doig
We introduce "book links" as a generalization of braids in open book decompositions; this new class of objects includes both braids and plats as special cases. We then prove a vers…
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 -…