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On complex line arrangements and their boundary manifolds
Published online by Cambridge University Press: 25 May 2015
Abstract
Let ${\mathcal A}$ be a line arrangement in the complex projective plane $\mathds{C}\mathds{P}^2$. We define and describe the inclusion map of the boundary manifold, the boundary of a closed regular neighbourhood of ${\mathcal A}$, in the exterior of the arrangement. We obtain two explicit descriptions of the map induced on the fundamental groups. These computations provide a new minimal presentation of the fundamental group of the complement.
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- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 159 , Issue 2 , September 2015 , pp. 189 - 205
- Copyright
- Copyright © Cambridge Philosophical Society 2015
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