38 citations · 108 across the 18 of their papers we have counts for
12 papers · 1 filter
q-Rationals, link invariants and webs
Perrine Jouteur, Hoel Queffelec
We investigate the role of q-rationals in the context of link invariants. This leads us to introduce and study web categories that q-deform Deligne's categories.
Extriangulated structures from stability conditions and application to braid representations
Hoel Queffelec, Anne-Laure Thiel, Emmanuel Wagner
We use the notion of Bridgeland stability condition and its associated metric to endow triangulated categories with extriangulated structures and study their extriangulated Grothen…
Gl2 Foam Functoriality and Skein Positivity
Hoel Queffelec
We prove full functoriality of Khovanov homology for tangled framed gl2 webs. We use this functoriality result to prove a strong positivity result for (orientable) surface skein al…
Polynomial link invariants and quantum algebras
Hoel Queffelec
The definition of the Jones polynomial in the 80's gave rise to a large family of so-called quantum link invariants, based on quantum groups. These quantum invariants are all contr…
Khovanov homology and categorification of skein modules
Hoel Queffelec, Paul Wedrich
For every oriented surface of finite type, we construct a functorial Khovanov homology for links in a thickening of the surface, which takes values in a categorification of the cor…
Braid groups of type ADE, Garside monoids, and the categorified root lattice
Anthony M. Licata, Hoel Queffelec
We study Artin-Tits braid groups of type ADE via the action of on the homotopy category of graded projective zigzag modules (which categ…
Sutured annular Khovanov-Rozansky homology
Hoel Queffelec, David E. V. Rose
We introduce an sl(n) homology theory for knots and links in the thickened annulus. To do so, we first give a fresh perspective on sutured annular Khovanov homology, showing that i…
A note on the gl(m|n) link invariants and the HOMFLY-PT polynomial
Hoel Queffelec, Antonio Sartori
We present a short and unified representation-theoretical treatment of type A link invariants (that is, the HOMFLY-PT polynomials, the Jones polynomial, the Alexander polynomial an…
Homfly-Pt and Alexander polynomials from a doubled Schur algebra
Hoel Queffelec, Antonio Sartori
We define a generalization of the idempotented Schur algebra which gives a unified setting for a quantum group presentation of the Homfly-Pt polynomial, together with its specializ…
The foam 2-category: a combinatorial formulation of Khovanov-Rozansky homology via categorical skew Howe duality
Hoel Queffelec, David E. V. Rose
We give a purely combinatorial construction of colored link homology. The invariant takes values in a 2-category where 2-morphisms are given by foams, singular co…
Skein Modules from Skew Howe Duality and Affine Extensions
Hoel Queffelec
We show that we can release the rigidity of the skew Howe duality process for knot invariants by rescaling the quantum Weyl group action, and recover skein modul…
Khovanov homology is a skew Howe 2-representation of categorified quantum sl(m)
Aaron D. Lauda, Hoel Queffelec, David E. V. Rose
We show that Khovanov homology (and its sl(3) variant) can be understood in the context of higher representation theory. Specifically, we show that the combinatorially defined foam…