Dissolving 4-manifolds, covering spaces and Yamabe invariant

Anar Akhmedov, Masashi Ishida, B. Doug Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We construct new spin and nonspin 4-manifolds with zero signature that dissolve after a connected sum with only one copy of (Formula presented.). We use these 4-manifolds to construct new examples of 4-manifolds with negative Yamabe invariant and whose universal covers have positive Yamabe invariant. In particular, these provide new spin and nonspin counterexamples to a conjecture of Rosenberg in the case of dimension four.

Original languageEnglish
Pages (from-to)271-283
Number of pages13
JournalAnnals of Global Analysis and Geometry
Volume47
Issue number3
DOIs
Publication statusPublished - 2015 Jan 1

Keywords

  • 4-manifold
  • Dissolve
  • Rosenberg conjecture
  • Scalar curvature
  • Yamabe invariant

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology

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