4 citations · 9 across the 13 of their papers we have counts for
14 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
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 -…
Floer homology, clasp-braids and detection results
Fraser Binns, Subhankar Dey
Martin showed that link Floer homology detects braid axes. In this paper we extend this result to give a topological characterisation of links which are almost braided from the poi…
Is the geography of Heegaard Floer homology restricted or the -space conjecture false?
Antonio Alfieri, Fraser Binns
In a recent note F. Lin showed that if a rational homology sphere admits a taut foliation then the Heegaard Floer module contains a copy of as a sum…
(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-…
The Type of Almost L-space Knots
Fraser Binns
Heegaard Floer homology and knot Floer homology are powerful invariants of 3-manifolds and links respectively. L-space knots are knots which admit Dehn surgeries to 3-manifolds wit…
Cable Links, Annuli and Sutured Floer homology
Fraser Binns, Subhankar Dey
We apply sutured Floer homology techniques to study the knot and link Floer homologies of various links with annuli embedded in their exteriors. Our main results include, for large…
Rank Bounds in Link Floer Homology and Detection Results
Fraser Binns, Subhankar Dey
Viewing the BRAID invariant as a generator of link Floer homology we generalise work of Baldwin-Vela-Vick to obtain rank bounds on the next to top grading of knot Floer homology. T…
On the nonorientable four-ball genus of torus knots
Fraser Binns, Sungkyung Kang, Jonathan Simone +1
The nonorientable four-ball genus of a knot in is the minimal first Betti number of nonorientable surfaces in bounded by . By amalgamating ideas from involutive…
Knot Floer homology, link Floer homology and link detection
Fraser Binns, Gage Martin
We give new link detection results for knot and link Floer homology inspired by recent work on Khovanov homology. We show that knot Floer homology detects , , $T(3,…