Daniel Cohen
(Louisiana State University, Baton Rouge)
Lie algebras associated to fiber-type arrangements
Abstract [ps] [pdf]: Recent results of Fadell-Husseini and Cohen-Gitler reveal an interesting relationship between the Lie algebras arising (i) from the lower central series of the Artin pure braid group, and (ii) from the loop space homology of certain classical configuration spaces. We discuss how these results extend naturally to fiber-type hyperplane arrangements and certain higher dimensional analogues.
Related material:
- D. Cohen, F. Cohen and M. Xicoténcatl:
Lie algebras associated to fiber-type arrangements
- D. Cohen:
Monodromy of fiber-type arrangements and orbit configuration spaces