18 citations · 42 across the 20 of their papers we have counts for
12 papers · 1 filter
Colored Khovanov homology theories at prime roots of unity
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We equip Khovanov's colored -homology groups with a degree-2 derivation. Over a field of characteristic , the derivation specializes to a -nilpotent diffe…
Infinitesimal sl(2)-symmetries on the equivariant skein lasagna module
You Qi, Louis-Hadrien Robert, Joshua Sussan +2
We construct an sl(2)-action on the equivariant skein lasagna module.
Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We give a new proof of a theorem due to Shumakovitch and Wang on base point independence of Khovanov--Rozansky homology in characteristic . Some further symmetries of $\mathfrak…
A topological theory of unoriented SL(4) foams
Mikhail Khovanov, Jozef H. Przytycki, Louis-Hadrien Robert +1
Unoriented SL(3) foams are two-dimensional CW complexes with generic singularities embedded in 3- and 4-manifolds. They naturally come up in the Kronheimer-Mrowka SO(3) gauge theor…
Symmetries of equivariant Khovanov-Rozansky homology
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We construct an -action on equivariant -link homologies. As a consequence we obtain an action of on these homologies as well as…
Symmetries of -foams
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the -foam evaluation formula. In particular, this endows states…
A proof of Dunfield-Gukov-Rasmussen Conjecture
Anna Beliakova, Krzysztof K. Putyra, Louis-Hadrien Robert +1
In 2005 Dunfield, Gukov and Rasmussen conjectured an existence of the spectral sequence from the reduced triply graded Khovanov-Rozansky homology of a knot to its knot Floer homolo…
Algebraic versus geometric categorification of the~Alexander polynomial: a~spectral sequence
Krzysztof K Putyra, Anna Beliakova, Louis-Hadrien Robert +1
We construct a bigraded spectral sequence from the gl(0)-homology to knot Floer homology. This spectral sequence is of Bockstein type and comes from a subtle manipulation of coeffi…
A quantum categorification of the Alexander polynomial
Louis-Hadrien Robert, Emmanuel Wagner
Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. We also give a purely algebraic version of this knot homology which makes it app…
Foam evaluation and Kronheimer--Mrowka theories
Mikhail Khovanov, Louis-Hadrien Robert
We introduce and study combinatorial equivariant analogues of the Kronheimer--Mrowka homology theory of planar trivalent graphs.
A signature invariant for knotted Klein graphs
Catherine Gille, Louis-Hadrien Robert
We define some signature invariants for a class of knotted trivalent graphs using branched covers. We relate them to classical signatures of knots and links. Finally, we explain ho…
Symmetric Khovanov--Rozansky link homologies
Louis-Hadrien Robert, Emmanuel Wagner
We provide a finite dimensional categorification of the symmetric evaluation of -webs using foam technology. As an output we obtain a symmetric link homology theor…