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Generalized μ‐Invariants for Links and Hyperplane Arrangements
Author(s) -
Papadima Ştefan
Publication year - 2002
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/s002461150201328x
Subject(s) - mathematics , hyperplane , quotient , pure mathematics , nilpotent , equivalence (formal languages) , construct (python library) , combinatorics , computer science , programming language
We construct a family, HM (k) k ⩾ 2, of oriented topological equivalence invariants, for projective configurations of complex hyperplanes with fixed combinatorial pattern. We construct a family, PM (k) k ⩾ 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.