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math.GT2026
Indecomposable Quasiconformal Maps of Manifolds
Benjamin B. McMillan
We demonstrate the existence of quasiconformal mappings on closed manifolds (dimension at least 5) that cannot be decomposed as a composition of mappings with arbitrarily small con…
math.GT2025
Foliation surgeries and the concordance groups of foliated spheres
Benjamin B. McMillan
We define a general procedure extending surgery to manifolds with foliation or Haefliger structure. We find a single obstruction to foliation surgery along an attaching sphere. Whe…