Homeomorphic non-diffeomorphic surfaces with small invariants (Q1313589)
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scientific article; zbMATH DE number 492815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homeomorphic non-diffeomorphic surfaces with small invariants |
scientific article; zbMATH DE number 492815 |
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Homeomorphic non-diffeomorphic surfaces with small invariants (English)
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7 February 1994
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The authors give examples of pairs of complex surfaces which are homeomorphic but not diffeomorphic and have small Chern numbers \(c_ 1^ 2\) resp. \(c_ 2\). Their construction relies on the fact that the canonical class \(c_ 1\) is an invariant of the diffeomorphism type of certain types of minimal surfaces [\textit{R. Friedman}, \textit{B. Moishezon} and \textit{J. W. Morgan}, Bull. Am. Math. Soc., New Ser. 17, 283-286 (1987; Zbl 0627.57014)].
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complex surfaces
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homeomorphic but not diffeomorphic
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small Chern numbers
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canonical class
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