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Homology of finite cyclic coverings of links and Massey products
by
Daniel Matei
University of Tokyo, Japan
Let L be a link in S\sp 3 and let p be a prime number. A cohomology class \xi in H\sp 1(S\sp 3 \L;Z/pZ) defines a covering M\sb\xi of the link complement. We relate the rank of H\sb 1(M\sb\xi;Z/pZ) with the numbers \nu\sb k, k ≥ 1 of linearly independent non-vanishing (k+1)-fold Massey products of the form < \xi, ..., \xi, \eta > , as \eta ranges over H\sp 1(S\sp 3 \L;Z/pZ).
Date received: October 23, 2002
Copyright © 2002 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cajr-09.