A symplectic manifold homeomorphic but not diffeomorphic to CP2#3CP2

Baldridge, Scott; Kirk, Paul A

doi:10.2140/gt.2008.12.919

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A symplectic manifold homeomorphic but not diffeomorphic to $\mathbb{C`P}\mskip-2mu^2 \mskip1mu\#\mskip2mu 3{\mskip2mu\overline{\mskip-2mu\mathbb{C`P}\mskip-3mu}\mskip1mu}^2$

Scott Baldridge and Paul Kirk

Geometry & Topology 12 (2008) 919–940

DOI: 10.2140/gt.2008.12.919

Abstract

In this article we construct a minimal symplectic $4$ –manifold and prove it is homeomorphic but not diffeomorphic to ${ℂ ℙ}^{2} # 3 {\bar{ℂ ℙ}}^{2}$ .

Keywords

symplectic topology, Luttinger surgery, fundamental group, 4-manifold

Mathematical Subject Classification 2000

Primary: 57R17

Secondary: 57M05, 54D05

References

Publication

Received: 16 January 2008

Accepted: 13 February 2008

Published: 12 May 2008

Proposed: John Morgan

Seconded: Ron Fintushel, Ron Stern

Authors

Scott Baldridge
Department of Mathematics Louisiana State University Baton Rouge, LA 70817

Paul Kirk
Department of Mathematics Indiana University Bloomington, IN 47405

Volume 12, issue 2 (2008)