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

Baldridge, Scott¹ ; Kirk, Paul A²

¹ Department of Mathematics, Louisiana State University, Baton Rouge, LA 70817
² Department of Mathematics, Indiana University, Bloomington, IN 47405

Geometry & topology, Tome 12 (2008) no. 2, pp. 919-940.

Résumé

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

Détail

DOI : 10.2140/gt.2008.12.919

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

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