51 citations · 206 across the 31 of their papers we have counts for
34 papers
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.
Monoidal 2-categories from foam evaluation
Leon J. Goertz, Laura Marino, Paul Wedrich
In this paper we describe a general framework for constructing examples of locally linear semistrict monoidal 2-categories covering many examples appearing in link homology theory.…
A note on TQFTs for orientable 2-dimensional cobordisms
Leon J. Goertz, Paul Wedrich
Topological quantum field theories (TQFTs) are symmetric monoidal functors out of cobordism categories. In dimension two, oriented TQFTs are famously classified by commutative Frob…
Khovanov skein lasagna modules with -dimensional inputs
Qiuyu Ren, Ian Sullivan, Paul Wedrich +2
We construct a variant of Khovanov skein lasagna modules, which takes the Khovanov homology in connected sums of defined by Rozansky and Willis as the input link ho…
From Link Homology to Topological Quantum Field Theories
Paul Wedrich
This survey reviews recent advances connecting link homology theories to invariants of smooth 4-manifolds and extended topological quantum field theories. Starting from joint work…
A note on general linear link homology
Paul Wedrich
This expository note outlines why it is sometimes useful to consider the bigraded type A link homology theories as associated with the Lie algebras gl(N) instead of sl(N).
Perverse schobers of Coxeter type
Tobias Dyckerhoff, Paul Wedrich
We define the concept of an -schober as a categorification of classification data for perverse sheaves on due to Kapranov-Schechtman.…
Braiding on type A Soergel bimodules: semistrictness and naturality
Catharina Stroppel, Paul Wedrich
We consider categories of Soergel bimodules for the symmetric groups S_n in their gl(n)-realizations for all n and assemble them into a locally linear monoidal bicategory. Chain co…
Bordered invariants from Khovanov homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
To every compact oriented surface that is composed entirely out of 2-dimensional 0- and 1-handles, we construct a dg category using structures arising in Khovanov homology. These d…
A braided monoidal -category of Soergel bimodules
Yu Leon Liu, Aaron Mazel-Gee, David Reutter +2
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard cano…
Invariants of surfaces in smooth 4-manifolds from link homology
Kim Morrison, Kevin Walker, Paul Wedrich
We construct analogs of Khovanov-Jacobsson classes and the Rasmussen invariant for links in the boundary of any smooth oriented 4-manifold. The main tools are skein lasagna modules…
A Kirby color for Khovanov homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We construct a Kirby color in the setting of Khovanov homology: an ind-object of the annular Bar-Natan category that is equipped with a natural handle slide isomorphism. Using func…
Skein lasagna modules and handle decompositions
Ciprian Manolescu, Kevin Walker, Paul Wedrich
The skein lasagna module is an extension of Khovanov-Rozansky homology to the setting of a four-manifold and a link in its boundary. This invariant plays the role of the Hilbert sp…
Link splitting deformation of colored Khovanov--Rozansky homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We introduce a multi-parameter deformation of the triply-graded Khovanov--Rozansky homology of links colored by one-column Young diagrams, generalizing the "-ified" link homolog…
A skein relation for singular Soergel bimodules
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We study the skein relation that governs the HOMFLYPT invariant of links colored by one-column Young diagrams. Our main result is a categorification of this colored skein relation.…
SL2 tilting modules in the mixed case
Louise Sutton, Daniel Tubbenhauer, Paul Wedrich +1
Using the non-semisimple Temperley-Lieb calculus, we study the additive and monoidal structure of the category of tilting modules for in the mixed case. This simu…
gl(2) foams and the Khovanov homotopy type
Vyacheslav Krushkal, Paul Wedrich
The Blanchet link homology theory is an oriented model of Khovanov homology, functorial over the integers with respect to link cobordisms. We formulate a stable homotopy refinement…
A coupled Temperley-Lieb algebra for the superintegrable chiral Potts chain
Remy Adderton, Murray T. Batchelor, Paul Wedrich
The hamiltonian of the -state superintegrable chiral Potts (SICP) model is written in terms of a coupled algebra defined by types of Temperley-Lieb generators. This genera…
Tangle addition and the knots-quivers correspondence
Marko Stosic, Paul Wedrich
We prove that the generating functions for the one row/column colored HOMFLY-PT invariants of arborescent links are specializations of the generating functions of the motivic Donal…
The center of SL2 tilting modules
Daniel Tubbenhauer, Paul Wedrich
In this note we compute the centers of the categories of tilting modules for G=SL2 in prime characteristic, of tilting modules for the corresponding quantum group at a complex root…
Derived traces of Soergel categories
Eugene Gorsky, Matthew Hogancamp, Paul Wedrich
We study two kinds of categorical traces of (monoidal) dg categories, with particular interest in categories of Soergel bimodules. First, we explicitly compute the usual Hochschild…
Invariants of 4-manifolds from Khovanov-Rozansky link homology
Scott Morrison, Kevin Walker, Paul Wedrich
We use Khovanov-Rozansky gl(N) link homology to define invariants of oriented smooth 4-manifolds, as skein modules constructed from certain 4-categories with well-behaved duals. Th…
Quivers for SL(2) tilting modules
Daniel Tubbenhauer, Paul Wedrich
Using diagrammatic methods, we define a quiver algebra depending on a prime p and show that it is the algebra underlying the category of tilting modules for SL(2) in characteristic…
Evaluations of annular Khovanov--Rozansky homology
Eugene Gorsky, Paul Wedrich
We describe the universal target of annular Khovanov-Rozansky link homology functors as the homotopy category of a free symmetric monoidal category generated by one object and one…