4 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…
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…