Derives handle attachment formulas for the 1D-input Khovanov skein lasagna module, reducing computations on 1-2-handle 4-manifolds to cabled colimits of Rozansky-Willis homologies modulo the lasso relation, with sample calculations on disk bundles and partial vanishing on surface times disk.
[LMZ24] Lukas Lewark, Laura Marino, and Claudius Zibrowius
2 Pith papers cite this work. Polarity classification is still indexing.
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math.GT 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Equivariant unknotting number of a strongly invertible knot is at least the H-torsion order of its involutive Bar-Natan homology, with five explicit knots where ordinary unknotting number is smaller.
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Handle decompositions and the 1-dimensional inputs skein lasagna module
Derives handle attachment formulas for the 1D-input Khovanov skein lasagna module, reducing computations on 1-2-handle 4-manifolds to cabled colimits of Rozansky-Willis homologies modulo the lasso relation, with sample calculations on disk bundles and partial vanishing on surface times disk.
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Equivariant Unknotting Number and Involutive Khovanov Homology
Equivariant unknotting number of a strongly invertible knot is at least the H-torsion order of its involutive Bar-Natan homology, with five explicit knots where ordinary unknotting number is smaller.