Simply connected symplectic 4-manifolds with $b_2^+ =1$ and $c_1^2 =2$

Jongil Park

doi:10.1007/s00222-004-0404-1

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Simply connected symplectic 4-manifolds with $b_2^+ =1$ and $c_1^2 =2$

Jongil Park

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Abstract

In this article we construct a new family of simply connected symplectic 4-manifolds with $b_2^+ =1$ and $c_1^2 =2$ which are not diffeomorphic to rational surfaces by using rational blow-down technique. As a corollary, we conclude that a rational surface ${\mathbf CP}^2 \sharp 7{\bar{\mathbf CP}^2}$ admits an exotic smooth structure.

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BibTeX RIS

Jongil Park. 2004-03-26. Simply connected symplectic 4-manifolds with $b_2^+ =1$ and $c_1^2 =2$. https://doi.org/10.1007/s00222-004-0404-1

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