Existence of a type-preserving homomorphism from the figure-eight knot complement fundamental group to the mapping class group of the thrice-punctured torus, yielding first examples of compact atoroidal surface bundles over surfaces.
Hatcher.Algebraic topology
3 Pith papers cite this work. Polarity classification is still indexing.
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A new functor calculus for posets yields necessary and sufficient conditions for n-parameter multipersistence modules to have projective dimension at most n-1 or n-2.
Tricycle codes generalize bicycle codes to three homological dimensions, enabling constant-depth CCZ circuits and single-shot magic state generation with circuit-level thresholds above 0.5% and low error rates at block lengths of 50-100 qubits.
citing papers explorer
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Atoroidal surface bundles
Existence of a type-preserving homomorphism from the figure-eight knot complement fundamental group to the mapping class group of the thrice-punctured torus, yielding first examples of compact atoroidal surface bundles over surfaces.
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Cross effects for functors from posets
A new functor calculus for posets yields necessary and sufficient conditions for n-parameter multipersistence modules to have projective dimension at most n-1 or n-2.
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Magic tricycles: Efficient magic state generation with finite block-length quantum LDPC codes
Tricycle codes generalize bicycle codes to three homological dimensions, enabling constant-depth CCZ circuits and single-shot magic state generation with circuit-level thresholds above 0.5% and low error rates at block lengths of 50-100 qubits.