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math.DS2025
Smooth Models of Fibered Partially Hyperbolic Systems
Jonathan DeWitt, Meg Doucette, Oliver Wang
We study fibered partially hyperbolic diffeomorphisms. We show that as long as certain topological obstructions vanish and as long as homological minimum expansion dominates the di…
math.AT2025
The Rational Homotopy of Stable -Smoothings
Oliver H. Wang
Smooth structures on high dimensional manifolds are classified by maps to the infinite loop space . The homotopy groups of this space are known to be finite. Given a compact…
math.GT2025
The Whitehead group and stably trivial -smoothings
Oliver H. Wang
A closed manifold of dimension at least has only finitely many smooth structures. Moreover, smooth structures of are in bijection with smooth structures of $M\times\mat…