3 papers
math.GT2026
Handle decompositions and the 1-dimensional inputs skein lasagna module
Imogen Montague, Ian A. Sullivan
We establish handle attachment formulas for the Khovanov skein lasagna module with 1-dimensional inputs over , defined recently by Ren, Wedrich, Willis, Zhang, and the…
math.GT2025
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…
math.GT2025
Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds
Ian A. Sullivan
We construct and study the skein lasagna module obtained by importing the Bar-Natan Khovanov homology package. For 4-manifolds satisfying a non-vanishing condition, we produce pair…