cappell-shaneson construction 1homeomorphism classes 1homotopy 4-spheres 1real projective 4-spaces 1smooth 4-manifolds 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.GT2026
A novel construction of homotopy 4-spheres and real projective 4-spaces à la Cappell-Shaneson
Rafael Torres
The paper extends the classic Cappell‑Shaneson construction to create new families of homotopy 4‑spheres and homotopy real projective 4‑spaces, providing a method to generate disti…
math.GT2025
Smooth structures on non-orientable -manifolds via twisting operations
Valentina Bais, Rafael Torres
Four observations compose the main results of this note. The first records the existence of a smoothly embedded 2-sphere inside such that performing…