Exotic smooth structures on small 4-manifolds

Anar Akhmedov; B. Doug Park

doi:10.1007/s00222-008-0118-x

Exotic smooth structures on small 4-manifolds

Anar Akhmedov, B. Doug Park

Mathematics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Let M be either ℂℙ²#3ℂℙ̄² or 3ℂℙ²#5ℂℙ̄². We construct the first example of a simply-connected irreducible symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.

Original language	English (US)
Pages (from-to)	209-223
Number of pages	15
Journal	Inventiones Mathematicae
Volume	173
Issue number	1
DOIs	https://doi.org/10.1007/s00222-008-0118-x
State	Published - Jul 2008

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AB - Let M be either ℂℙ2#3ℂℙ̄2 or 3ℂℙ2#5ℂℙ̄2. We construct the first example of a simply-connected irreducible symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.

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Exotic smooth structures on small 4-manifolds

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