Moves on Pseudoline Diagrams

✍ Scribed by Rudi Penne

• Book ID: 102566426
• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 418 KB
• Volume: 17
• Category: Article
• ISSN: 0195-6698
• DOI: 10.1006/eujc.1996.0049

✦ Synopsis

Pseudoline diagrams are simple arrangements of pseudolines in the af fine plane where at each vertex one indicates which pseudoline crosses o er the 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 the chirality of triples of lines , which are useful in the study of isotopies of line configurations in 3-space .