9 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.
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…
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…