TL;DR
This paper proves that any smooth homotopy 4-sphere is diffeomorphic to the standard 4-sphere, confirming the smooth Poincaré conjecture in four dimensions.
Contribution
It establishes a proof that all smooth homotopy 4-spheres are equivalent to the standard 4-sphere, resolving a major conjecture in topology.
Findings
All smooth homotopy 4-spheres are diffeomorphic to the 4-sphere
Confirmed the smooth Poincaré conjecture in four dimensions
Resolved a longstanding open problem in differential topology.
Abstract
Every smooth homotopy 4-sphere is diffeomorphic to the 4-sphere.
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