18 citations · 42 across the 20 of their papers we have counts for
11 papers · 1 filter
A foamy approach to Soergel bimodules
Mikhail Khovanov, Louis-Hadrien Robert, Emmanuel Wagner
The aim of this short note is to establish a 2-equivalence between a certain 2-category of foams and that of singular Soergel bimodules of type A.
MOY calculus in type D
Elijah Bodish, Louis-Hadrien Robert, Emmanuel Wagner
We define a positive state sum for webs "of type D". These webs are graphs which mimic morphisms in the category of finite-dimensional quantum so(2N)-modules. From the state sum, w…
A categorification of the colored Jones polynomial at a root of unity
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
There is a -differential on the triply-graded Khovanov--Rozansky homology of knots and links over a field of positive characteristic that gives rise to an invariant in the h…
Conical SL(3) foams
Mikhail Khovanov, Louis-Hadrien Robert
In the unoriented SL(3) foam theory, singular vertices are generic singularities of two-dimensional complexes. Singular vertices have neighbourhoods homeomorphic to cones over the…
Link homology and Frobenius extensions II
Mikhail Khovanov, Louis-Hadrien Robert
The first two sections of the paper provide a convenient scheme and additional diagrammatics for working with Frobenius extensions responsible for key flavors of equivariant SL(2)…
State sums for some super quantum link invariants
Louis-Hadrien Robert, Emmanuel Wagner
We present state sums for quantum link invariants arising from the representation theory of . We investigate the case of the -th exterior power of the…
A closed formula for the evaluation of -foams
Louis-Hadrien Robert, Emmanuel Wagner
We give a purely combinatorial formula for evaluating closed decorated foams. Our evaluation gives an integral polynomial and is directly connected to an integral equivariant versi…
A new way to evaluate MOY graphs
Louis-Hadrien Robert
We define a new way to evaluate MOY graphs. We prove that this new evaluation coincides with the classical evaluation by checking some skein relations. As a consequence, we prove a…
Grothendieck groups of the Khovanov-Kuperberg algebras
Louis-Hadrien Robert
The aim of this note is to take benefit of the foam nature of the Khovanov-Kuperberg algebras to compute the Grothendieck groups of their categories of finitely generated projectiv…
A characterisation of indecomposable web-modules over Khovanov-Kuperberg Algebras
Louis-Hadrien Robert
After shortly recalling the construction of the Khovanov-Kuperberg algebras, we give a characterisation of indecomposable web-modules. It says that a web-module is indecomposable i…
A large family of indecomposable projective modules for the Khovanov-Kuperberg algebra of -webs
Louis-Hadrien Robert
We recall a construction of Mackaay, Pan and Tubbenhauer of the algebras which allow to understand the homology for links in a local way (i.e. for tangles). Then, by s…