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Title
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Yang-Baxter invariants for line configurations
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Author
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Abstract
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| We study line configurations in 3-space by means of ''line diagrams,'' projections into a plane with an indication of over and under crossing at the vertices. If we orient such a diagram, we can associate a ''contracted tensor'' T with it in the same spirit as is done in Knot Theory. We give conditions to make T independent of the orientation, and invariant under isotopy. The Yang-Baxter equation is one such condition. Afterwards we restrict ourselves to Yang-Baxter invariants with a topological state model, and give some new invariants for line isotopy. |
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Language
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English
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Source (journal)
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Discrete and computational geometry. - New York, N.Y.
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Publication
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New York, N.Y.
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1996
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ISSN
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0179-5376
[print]
1432-0444
[online]
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DOI
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10.1007/BF02716577
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Volume/pages
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15
:1
(1996)
, p. 15-33
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ISI
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A1996TM42200002
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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