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Einstein metrics and
exotic smooth structures
Masashi Ishida |
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Vol. 258 (2012), No. 2, 327–348
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Abstract |
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We prove new existence theorems of 4-manifolds admitting infinitely many distinct smooth structures for which no Einstein metric exists. |
Keywords
Einstein metrics, smooth structures, Seiberg–Witten
invariants
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Mathematical Subject Classification 2010
Primary: 53C25
Secondary: 57R57, 57R55
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Milestones
Received: 31 October 2010
Revised: 16 May 2012
Accepted: 22 May 2012
Published: 1 August 2012
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Authors |
| Masashi Ishida | |
| Department of Mathematics Sophia University 7-1 Kioi-Cho Chiyoda-Ku, Tokyo 102-8554 Japan |
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