38 citations · 108 across the 18 of their papers we have counts for
23 papers
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…
A fast algorithm for the Hecke representation of the braid group, and applications to the computation of the HOMFLY-PT polynomial and the search for interesting braids
Clément Maria, Hoel Queffelec
Knot theory is an active field of mathematics, in which combinatorial and computational methods play an important role. One side of computational knot theory, that has gained inter…
Some remarks about the faithfulness of the Burau representation of Artin--Tits groups
Asilata Bapat, Hoel Queffelec
We discuss the extension of the faithfulness question for the Burau representation of braid groups to the case of Artin--Tits groups. We prove that the Burau representation is not…
Reidemeister's theorem using transversality
Hoel Queffelec
We recover Reidemeister's theorem using smooth functions and transversality.
Khovanov-Seidel braid representation
Hoel Queffelec
These are lecture notes from a lecture series given at CIRM in the Fall 2023. They give a down-to-earth introduction to Khovanov and Seidel's categorical representation of Artin-Ti…
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…
Movie moves for framed foams from multijet transversality
Hoel Queffelec, Kevin Walker
We use multijet transversality techniques to give a presentation by generators and relations of the categories of framed tangled webs and foams.
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…
Extremal weight projectors II
Hoel Queffelec, Paul Wedrich
In previous work, we have constructed diagrammatic idempotents in an affine extension of the Temperley-Lieb category, which describe extremal weight projectors for sl(2), and which…
Annular Evaluation and Link Homology
Hoel Queffelec, David E. V. Rose, Antonio Sartori
We use categorical annular evaluation to give a uniform construction of both and HOMFLYPT Khovanov-Rozansky link homology, as well as annular versions of these th…
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…
Extremal weight projectors
Hoel Queffelec, Paul Wedrich
We introduce a quotient of the affine Temperley-Lieb category that encodes all weight-preserving linear maps between finite-dimensional sl(2)-representations. We study the diagramm…
An equivalence between truncations of categorified quantum groups and Heisenberg categories
Hoel Queffelec, Alistair Savage, Oded Yacobi
We introduce a simple diagrammatic 2-category that categorifies the image of the Fock space representation of the Heisenberg algebra and the basic representation of $…
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…
Mixed quantum skew Howe duality and link invariants of type A
Hoel Queffelec, Antonio Sartori
We define a ribbon category , depending on a parameter , which encompasses Cautis, Kamnitzer and Morrison's spider category, and describes for the monoid…
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…
Chebyshev polynomials and the Frohman-Gelca formula
Hoel Queffelec, Heather M. Russell
Using Chebyshev polynomials, C. Frohman and R. Gelca introduce a basis of the Kauffman bracket skein module of the torus. This basis is especially useful because the Jones-Kauffman…
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…