For 1-manifolds in R^2, vineyard monodromy on small loops arises precisely when the loop intersects a singularity of the distance function on the symmetry set.
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cs.CG 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.
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The Singular Source of Vineyard Monodromy
For 1-manifolds in R^2, vineyard monodromy on small loops arises precisely when the loop intersects a singularity of the distance function on the symmetry set.
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Sharp approximate Carath\'eodory theorem and application to iterated Delaunay refinement
A dimension-dependent approximate Carathéodory theorem yields explicit contraction rates for Delaunay mesh refinement that exceed those of standard subdivision.