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math.GT2026
Liftable braid factorizations from line arrangements: Hironaka's relations and a Zariski pair
Atsuhide Mori
We realize Hironaka's generalized lantern relations by lifting positive braid factorizations. For a nonpencil real line arrangement with no parallel lines, we construct a family of…
quant-ph2026
Nakayama's reduction of quantum topos and Bayesian quantum computing
Atsuhide Mori
Nakayama found the way to limit the contexts in the Döring-Isham topos quantum theory and unified such limitation and the definition of probability as a single choice of topology.…
math.GT2026
Planar Contact Structures with Calabi-Yau Fillings and Topological Quantum Computation
Atsuhide Mori
We study planar openbooks obtained by lifting braids through branched covers of D^2, together with the quantum operations in the Ising representation. We give a criterion for the S…