Hiroshi Yamauchi
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126
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Algebraic Topology×1Comp. Geom.×1Mathematical Physics×1Quantum Physics×1
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2026
Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
The paper introduces a computational framework using Hodge zero-modes to track the geometry of topological features in parameter-dependent data, providing metrics like curvature and holonomy to quantify structural changes and memory.
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