Introduces a gauge-geometry framework that computes curvature and holonomy of Hodge zero-mode transport to detect structural changes in parameter-dependent topological data.
arXiv preprint arXiv:2210.06424 (2022)
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Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
Introduces a gauge-geometry framework that computes curvature and holonomy of Hodge zero-mode transport to detect structural changes in parameter-dependent topological data.