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Splittings of groups and
intersection numbers
Peter Scott and Gadde A Swarup |
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Geometry & Topology 4 (2000) 179–218
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arXiv: math.GT/9906004 |
Abstract |
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We prove algebraic analogues of the facts that a curve on a surface with self-intersection number zero is homotopic to a cover of a simple curve, and that two simple curves on a surface with intersection number zero can be isotoped to be disjoint. |
Keywords
amalgamated free product, splitting, intersection number,
ends
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Mathematical Subject Classification 2000
Primary: 20E06, 20E08
Secondary: 20F32, 57M07
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References |
Forward citations |
Publication
Received: 18 May 1999
Revised: 6 April 2000
Accepted: 24 July 2000
Published: 9 August 2000
Proposed: Jean-Pierre Otal
Seconded: Walter Neumann, Joan Birman
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Authors |
| Peter Scott | |
| Mathematics Department University of Michigan Ann Arbor Michigan 48109 USA |
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| Gadde A Swarup | |
| Mathematics Department University of Melbourne Parkville Victoria 3052 Australia |
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