From the 1 of 3 linked papers with an AI index.
3 papers
math.GT2026
Knot Floer homology of positive braids
Zhechi Cheng, Matthew Hedden
The paper determines the next-to-top term of knot Floer homology for closures of positive braids, showing it has rank one for prime knots and implying their monodromies are fixed‑p…
math.GT2025
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…
math.GT2024
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.