A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\) (Q539028)
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scientific article; zbMATH DE number 5900526
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\) |
scientific article; zbMATH DE number 5900526 |
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A note on the topology of the complements of fiber-type line arrangements in \(\mathbb C\mathbb P^2\) (English)
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27 May 2011
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The authors show that the classifying space \(BDiff_+(S^2,\{x_1,\dots,x_n\})\) is a \(K(\pi,1)\) space, with \(\pi\) is the mapping class group of an \(n\)-punctured sphere. This implies in particular that the center-projecting braid monodromy of a fiber-type line arrangement determines the diffeomorphism type of its complement.
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line arrangement
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braid monodromy
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mapping class group
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