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.
Vines and vineyards by updating703 persistence in linear time
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
A graph encoding of connected-component dynamics enables direct extraction of H0 and H1 zigzag barcodes for binary video, bypassing cubical complexes and achieving linear-time scaling via Dey-Hou decomposition.
citing papers explorer
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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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Canopies: A Generalization of Vines and Vineyards for Parameterized Persistence
Canopies generalize vines and vineyards by tracking simplex pairs in filtered chain complexes instead of persistence diagram points, with proofs of homeomorphism and applications to multiplicity and monodromy.
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From Frames to Features: Scalable Zigzag Persistence for Binary Video
A graph encoding of connected-component dynamics enables direct extraction of H0 and H1 zigzag barcodes for binary video, bypassing cubical complexes and achieving linear-time scaling via Dey-Hou decomposition.