M. Hedden

works on

fibered knots 1 grid diagrams 1 knot floer homology 1 knot theory 1 positive braids 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

collaborators

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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 $(1, 1)$ knots

Matthew Hedden, Jiajun Wang, Xiliu Yang

We give an algorithm for computing the knot Floer homology of a $(1, 1)$ knot from a particular presentation of its fundamental group.

Knot Floer homology of positive braids

Relative Thom Conjectures, symplectic and beyond

Knot Floer homology and the fundamental group of (1,1) knots

Knot Floer homology and the fundamental group of $(1, 1)$ knots