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Spindle-configurations of
skew lines
Roland Bacher and David Garber |
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Geometry & Topology 11 (2007) 1049–1081
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arXiv: math.GT/0205245 |
Abstract |
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This paper is a contribution to the classification of configurations of skew lines, as studied mainly by Viro and his collaborators. We prove an improvement of a conjecture made by Crapo and Penne which characterizes isotopy classes of skew configurations with spindle-structure. By this result we can define an invariant, spindlegenus, for spindle-configurations. |
Keywords
configurations of skew lines, spindles, linking matrix,
switching graphs, permutation
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Mathematical Subject Classification 2000
Primary: 57M25, 57Q37, 57Q45
Secondary: 51H10, 57M27
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References |
Forward citations |
Publication
Received: 29 September 2005
Revised: 14 November 2006
Accepted: 2 January 2007
Published: 30 May 2007
Proposed: Dave Gabai
Seconded: Joan Birman and Jean-Pierre Otal
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Authors |
| Roland Bacher | |
| Institut Fourier BP 74 38402 Saint-Martin D’Heres Cedex France |
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| David Garber | |
| Department of Applied
Mathematics School of Sciences Holon Institute of Technology 52 Golomb Street PO Box 305 58102 Holon Israel |
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