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Not all free arrangements are K(pi, 1)

Authors :
Edelman, Paul H.
Reiner, Victor
Source :
Bulletin, New Series, of the American Mathematical Society. Jan, 1995, Vol. 32 Issue 1, p61, 5 p.
Publication Year :
1995

Abstract

A family of hyperplane arrangements with one parameter contradicts K Saito's hypothesis that K(pi, 1) comprises the complexified complement of free arrangements. This conjecture comes from research into symmetric octagons and tilings. The generalization of supersolvable and Coxeter arrangements is a free arrangement. The braid arrangement A is K(pi, 1) where pi represents the pure braid group. Two theorems are presented, with sketched proofs.

Details

ISSN :
02730979
Volume :
32
Issue :
1
Database :
Gale General OneFile
Journal :
Bulletin, New Series, of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
edsgcl.17566689