An Exotic 4-sphere

EasyChair Preprint 9575, version history

VersionDatePagesVersion notes
1
January 15, 2023
9
2
January 22, 2023
9

Notice that the set of compact smooth manifolds homeomorphic to 4-dimensional ball, considered up to oriented diffeomorphism, is in canonical bijection with the set of compact smooth manifolds homeomorphic to 4-sphere, considered up to oriented diffeomorphism.

3
January 25, 2023
10

A PL 4-manifold is exotic if and only if there exists an exotic link.

A physical meaning of exotic spheres is added.

4
August 28, 2023
10

New details are added, e.g. a link to cluster algebras

Keyphrases: Berkovich analytic spaces, Exotic n-spheres, Exotic smooth structures, Pachner moves, Piecewise-linear manifolds, Poincare conjecture, Rado graph, Richter-Gebert’s Universality theorem, Subdivisions, Valuation, Weighted simplicial complexes, discrete geometry, inverse limit, simplicial complexes, triangulations

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@booklet{EasyChair:9575,
  author    = {Valerii Sopin},
  title     = {An Exotic 4-sphere},
  howpublished = {EasyChair Preprint 9575},
  year      = {EasyChair, 2023}}