We construct knot invariants categorifying the quantum knot variants for all representations
of quantum groups. We show that these invariants coincide with previous invariants defined …

A closed formula for the evaluation of foams Page 1 Quantum Topol. 11 (2020), 411–487 DOI
10.4171/QT/139 Quantum Topology © European Mathematical Society A closed formula for …

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation
functions in half-twisted 2d N=(0, 2) theories that arise from compactification of fivebranes …

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 …

Functoriality of colored link homologies Page 1 FUNCTORIALITY OF COLORED LINK
HOMOLOGIES MICHAEL EHRIG, DANIEL TUBBENHAUER, AND PAUL WEDRICH Abstract …

We categorify all the Reshetikhin–Turaev tangle invariants of type A. Our main tool is a
categorification of the generalized Jones–Wenzl projectors (aka clasps) as infinite twists …

Line and surface defects in Reshetikhin–Turaev TQFT Page 1 Quantum Topol. 10 (2019),
399–439 DOI 10.4171/QT/121 Quantum Topology © European Mathematical Society Line and …

Following the seminal articles of Jones, Witten and Atiyah [38; 86; 3], Crane and Frenkel
outlined their vision for an algebraic construction of invariants of smooth 4–dimensional …

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 …

We prove a conjectured decomposition of deformed sl N link homology, as well as an
extension to the case of colored links, generalizing results of Lee, Gornik, and Wu. To this …