Ian Sullivan

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20242026

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math.GT2025

Khovanov skein lasagna modules with $1$ -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 $S^{1} \times S^{2}$ 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…

Khovanov skein lasagna modules with 1-dimensional inputs

Bar-Natan skein lasagna modules and exotic surfaces in 4-manifolds

Khovanov skein lasagna modules with $1$ -dimensional inputs