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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Reshetikhin-Turaev knot polynomials are fixed-parameter tractable in the treewidth of the input diagram via tensor network contraction, yielding e^{O(sqrt n)} time.
Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.
citing papers explorer
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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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Fixed-parameter tractable computation of Reshetikhin--Turaev knot polynomials via tensor networks
Reshetikhin-Turaev knot polynomials are fixed-parameter tractable in the treewidth of the input diagram via tensor network contraction, yielding e^{O(sqrt n)} time.
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Multi-framed real monopole Floer theory
Constructs multi-framed real monopole Floer homology for 3-manifolds with involutions and defines Z-valued invariants for 4-manifolds with involutions.