Motivated by topology, we develop a general theory of traces and shadows for an
endobicategory, which is a pair: bicategory and endobifunctor. For a graded linear …

We prove that Khovanov homology with coefficients in Z= 2Z detects the. 2; 5/torus knot. Our
proof makes use of a wide range of deep tools in Floer homology, Khovanov homology, 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 …

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 space …

We interpret Manolescu–Neithalath's cabled Khovanov homology formula for computing
Morrison–Walker–Wedrich's KhR2 skein lasagna module as a homotopy colimit (mapping …

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 algebras …

We determine the quantum filtration structure of the Lee homology of all torus links. In
particular, this determines the $ s $-invariant of a torus link equipped with any orientation. In …

Khovanov homology and categorification of skein modules Page 1 Quantum Topol. 12 (2021),
129–209 DOI 10.4171/QT/148 © 2021 European Mathematical Society Published by EMS Press …

We introduce an $\mathfrak {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 …

We use categorical annular evaluation to give a uniform construction of both $\mathfrak {sl}
_n $ and HOMFLYPT Khovanov-Rozansky link homology, as well as annular versions of …