51 citations · 206 across the 31 of their papers we have counts for
15 papers · 1 filter
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.
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…
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…
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…
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…
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…
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…
Functoriality of colored link homologies
Michael Ehrig, Daniel Tubbenhauer, Paul Wedrich
We prove that the bigraded colored Khovanov-Rozansky type A link and tangle invariants are functorial with respect to link and tangle cobordisms.
Exponential growth of colored HOMFLY-PT homology
Paul Wedrich
We define reduced colored sl(N) link homologies and use deformation spectral sequences to characterize their dependence on color and rank. We then define reduced colored HOMFLY-PT…
Deformations of colored sl(N) link homologies via foams
David E. V. Rose, Paul Wedrich
We generalize results of Lee, Gornik and Wu on the structure of deformed colored sl(N) link homologies to the case of non-generic deformations. To this end, we use foam technology…
q-holonomic formulas for colored HOMFLY polynomials of 2-bridge links
Paul Wedrich
We compute q-holonomic formulas for the HOMFLY polynomials of 2-bridge links colored with one-column (or one-row) Young diagrams.
Categorified sl(N) invariants of colored rational tangles
Paul Wedrich
We use categorical skew Howe duality to find recursion rules that compute categorified sl(N) invariants of rational tangles colored by exterior powers of the standard representatio…