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A note on the
topology of the complements of fiber-type line arrangements
in ℂℙ2
Sheng-Li Tan, Stephen S.-T. Yau and Fei Ye |
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Vol. 251 (2011), No. 1, 207–218
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Abstract |
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We prove that BDiff+(S2,{x1,…,xn+1}) is a K(π,1) space, where π is the mapping class group of an (n+1)-punctured sphere. As a consequence we derive that the center-projecting braid monodromy of a fiber-type projective line arrangement determines the diffeomorphic type of its complement. |
Keywords
fiber-type line arrangement, braid monodromy,
differentiable fiber bundle
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Mathematical Subject Classification 2000
Primary: 14N20, 52C35
Secondary: 57R22, 37E30
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Milestones
Received: 1 March 2010
Accepted: 1 July 2010
Published: 22 April 2011
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Authors |
| Sheng-Li Tan | |
| East China Normal University Department of Mathematics Shanghai 200062 China |
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| http://math.ecnu.edu.cn/~sltan/intro.html | |
| Stephen S.-T. Yau | |
| University of Illinois at
Chicago Department of Mathematics, Statistics and Computer Science 322 SEO (m/c 249) 851 South Morgan Street Chicago IL 60607 United States |
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| http://www.math.uic.edu/~yau/ | |
| Fei Ye | |
| University of Illinois at
Chicago Department of Mathematics, Statistics and Computer Science 322 SEO (m/c 249) 851 South Morgan Street Chicago 60607 United States |
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| http://www.math.uic.edu/~fye | |
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