5 papers · 1 filter
Khovanov-Rozansky homology over
David Popović
We define a 'full' version of Khovanov-Rozansky homology: a chain complex CH(K) over F[U,V] whose chain homotopy type is a knot invariant and which has the property that setting U…
Reduced Khovanov-Rozansky homology
David Popović
We introduce a variant of reduced Khovanov-Rozansky homology defined in terms of the variables alpha_1, ..., alpha_{n-1} that correspond to the regions between the strands. We rigo…
Knots of low knot Floer width
David Popović
This paper classifies the chain homotopy equivalence types of knot Floer complexes of knot Floer width 2. They have no nontrivial local systems. As an ap…
Algebraic realizability of knot Floer-like complexes
David Popović
We study algebraic obstructions to realizability of local equivalence classes of knot-like complexes. We classify local equivalence classes of knot-like complexes over $\mathbb{F}[…
Link Floer homology splits into snake complexes and local systems
David Popović
We classify isomorphism and chain homotopy equivalence classes of finitely generated graded free chain complexes over .…