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GENERALIZED μ-INVARIANTS FOR LINKS AND HYPERPLANE ARRANGEMENTS

Published online by Cambridge University Press:  06 March 2002

ŞTEFAN PAPADIMA
ŞTEFAN PAPADIMA
Affiliation:
Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, RO-70700 Bucharest, Romaniaspapadim@stoilow.imar.ro
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Abstract

We construct a family, $\{HM^{(k)}\}_{k\geq 2}$, of oriented topological equivalence invariants, for projective configurations of complex hyperplanes with fixed combinatorial pattern. We construct a family, $\{PM^{(k)}\}_{k \geq 2}$, of concordance invariants, for classical links with a fixed number of components. The constructions are carried out in the same manner, using the existence of natural additional structures on the nilpotent quotients of the fundamental groups of the complements. We give the explicit computation of the primary and secondary HM and PM invariants.

2000 Mathematical Subject Classification: primary 57M25, 32S50; secondary 20F10, 20F12.

Keywords

linkarrangementPM groupHM groupunipotent orbit space
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 84 , Issue 2 , March 2002 , pp. 492 - 512
Copyright
2002 London Mathematical Society

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