75 citations · 469 across the 34 of their papers we have counts for
42 papers
Relative Thom Conjectures, symplectic and beyond
Matthew Hedden, Katherine Raoux
We establish a criterion that ensures a bounded almost complex curve in a bounded almost complex 4-manifold minimizes genus amongst all smooth surfaces that share its homology clas…
Knot Floer homology of positive braids
Zhechi Cheng, Matthew Hedden
We compute the next-to-top term of the knot Floer homology of any link obtained as the closure of a positive braid, showing in particular that the rank is one for any prime knot in…
Knot Floer homology and the fundamental group of knots
Matthew Hedden, Jiajun Wang, Xiliu Yang
We give an algorithm for computing the knot Floer homology of a knot from a particular presentation of its fundamental group.
A 4-dimensional rational genus bound
Katherine Raoux, Matthew Hedden
We introduce a 4-dimensional analogue of the rational Seifert genus of a knot , which we call the rational slice genus, that measures the complexity of a homology class…
Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homology
Irving Dai, Matthew Hedden, Abhishek Mallick +1
We show that a large class of satellite operators are rank-expanding; that is, they map some rank-one subgroup of the concordance group onto an infinite linearly independent set. O…
Murasugi sum and extremal knot Floer homology
Zhechi Cheng, Matthew Hedden, Sucharit Sarkar
The aim of this paper is to study the behavior of knot Floer homology under Murasugi sum. We establish a graded version of Ni's isomorphism between the extremal knot Floer homology…