3 papers
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…
math.DG2024
A characterization of Pfaffian embeddings from (2, 3, 5)- into flat (4, 7)-geometries
Benjamin McMillan
Given two smooth manifolds with tangent subbundle distributions, an embedding is Pfaffian if its differential sends the distribution on the source into the distribution on the targ…