Title
Moves on pseudoline diagramsMoves on pseudoline diagrams
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
London,
Subject
Mathematics
Source (journal)
European journal of combinatorics. - London
Volume/pages
17(1996):6, p. 569-593
ISSN
0195-6698
ISI
A1996VC41600005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Pseudoline diagrams are simple arrangements of pseudolines in the affine plane where at each vertex one indicates which pseudolinecrosses overthe other. They naturally appear as projections of configurations of lines in 3-space. Motivated by isotopies of these spatial configurations, we define an equivalence for diagrams, generated by two types of moves. We encode diagrams by words and consider the associated word problem. Furthermore, in this combinational framework we obtain two new results on thechiralityof triples of lines, which are useful in the study of isotopies of line configurations in 3-space.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/9e69e1/4978.pdf
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