Dissolving 4-manifolds, covering spaces and Yamabe invariant

Anar Akhmedov, Masashi Ishida, B. Doug Park

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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 (US)
Pages (from-to)271-283
Number of pages13
JournalAnnals of Global Analysis and Geometry
Issue number3
StatePublished - Mar 2015

Bibliographical note

Funding Information:
Anar Akhmedov was partially supported by NSF grant DMS-1005741. Masashi Ishida was partially supported by the Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, No. 20540090. B. Doug Park was partially supported by an NSERC discovery grant.

Publisher Copyright:
© 2014, Springer Science+Business Media Dordrecht.


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


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