4 papers
Khovanov and knot Floer homology of fibered positive links
Zhechi Cheng
For fibered positive links, we compute the reduced and unreduced Khovanov homology in homological grading two over both and , and the knot Floer homology…
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…
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…
Bigrading the symplectic Khovanov cohomology
Zhechi Cheng
We construct a well-defined relative second grading on symplectic Khovanov cohomology from holomorphic disc counting. We show that it recovers the Jones grading of Khovanov homolog…