Nash homotopy spheres are standard

Abstract

We prove that the infinite family of homotopy 4-spheres constructed by Daniel Nash are all diffeomorphic to 4-sphere.

10 pages, 9 figures

References in corpus (4)

• Corks, Plugs and exotic structures
• The Catanese-Ciliberto-Mendes Lopes surface
• Exotic smooth structures on $S^2\times S^2$
• New Homotopy 4-Spheres

Cited by in corpus (6)

• The Catanese-Ciliberto-Mendes Lopes surface
• Infinitely many small exotic Stein fillings
• A construction of slice knots via annulus twists
• Discrete Morse Theory Is At Least As Perfect As Morse Theory
• On Nash's 4-sphere and Property 2R
• Double knot surgeries to S^4 and S^2 x S^2