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math.MG2026
Pullback metrics and homological obstructions to BLD remetrization of branched covers
Deguang Zhong
We characterize admissible BLD remetrizations of branched self-covers of spheres by linear local contractibility of their canonical pullback length metrics. A relative homology obs…
math.MG2026
Odd branching obstructs multiplicity-one integral current structures
Deguang Zhong
Giuliano Basso asked whether every -dimensional integral current space admits an integral current structure with the same characteristic set and multiplicity one almost everywhe…