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An Exotic 4-sphere

EasyChair Preprint no. 9575, version 2

Versions: 1234history
9 pagesDate: January 22, 2023


It has not been known whether or not there are any exotic 4-spheres: such an exotic 4-sphere would be a counterexample to the smooth generalized Poincare conjecture in dimension 4. Some plausible candidates are given by Gluck twists, but many cases over the years were ruled out as possible counterexamples. In the paper the resulting solution to the last generalized Poincare conjecture is presented by giving a precise construction of a discrete exotic 4-sphere (Berkovich analytic spaces and the Richter-Gebert’s Universality theorem help).

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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Valerii Sopin},
  title = {An Exotic 4-sphere},
  howpublished = {EasyChair Preprint no. 9575},

  year = {EasyChair, 2023}}
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