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math.GT2025
Milnor invariants and thickness of spherical links
Rafał Komendarczyk, Robin Koytcheff, Fedor Manin
The ropelength of a knot or link is the minimal number of inches of 1-inch-thick rope that it takes to tie it. The relationship of this measurement to knot and link invariants has…
math.AT2025
Vietoris--Rips Shadow for Euclidean Graph Reconstruction
Rafal Komendarczyk, Sushovan Majhi, Atish Mitra
The shadow of an abstract simplicial complex with vertices in is a subset of defined as the union of the convex hulls of simplices of . The Vie…