Title
Yang-Baxter invariants for line configurationsYang-Baxter invariants for line configurations
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y.,
Subject
Mathematics
Computer. Automation
Source (journal)
Discrete and computational geometry. - New York, N.Y.
Volume/pages
15(1996):1, p. 15-33
ISSN
0179-5376
ISI
A1996TM42200002
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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.
E-info
https://repository.uantwerpen.be/docman/iruaauth/e86acf/8752742.pdf
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Handle