Volume 7, issue 4 (2007)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Other MSP Journals
The homotopy Lie algebra of the complements of subspace arrangements with geometric lattices

Gery Debongnie

Algebraic & Geometric Topology 7 (2007) 2007–2020
Abstract

A subspace arrangement in l is a finite set A of subspaces of l. The complement space M(A) is l xAx. If M(A) is elliptic, then the homotopy Lie algebra π(ΩM(A)) is finitely generated. In this paper, we prove that if A is a geometric arrangement such that M(A) is a hyperbolic 1–connected space, then there exists an injective map L(u,v) π(ΩM(A)) where L(u,v) denotes a free Lie algebra on two generators.

Keywords
homotopy Lie algebra, Subspace arrangements
Mathematical Subject Classification 2000
Primary: 55P62
References
Publication
Received: 10 May 2007
Revised: 9 October 2007
Accepted: 25 October 2007
Published: 26 December 2007
Authors
Gery Debongnie
UCL, Departement de mathematique
Chemin du Cyclotron, 2
B-1348 Louvain-la-neuve
Belgium
http://www.math.ucl.ac.be/membres/debongnie/