English

Intersection Forms of Spin Four-Manifolds

Geometric Topology 2012-12-18 v2

Abstract

The second Betti number of a smooth, closed, connected and simply connected, four-dimensional spin manifold is greater or equal 11/8 times the abolute value of its signature.

Keywords

Cite

@article{arxiv.1211.7092,
  title  = {Intersection Forms of Spin Four-Manifolds},
  author = {Stefan A. Bauer},
  journal= {arXiv preprint arXiv:1211.7092},
  year   = {2012}
}

Comments

This paper has been withdrawn by the author. Proposition 5.2 is wrong. The author is grateful to Tom Mrowka for pointing out the mistake

R2 v1 2026-06-21T22:46:29.234Z