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KNOTS in WASHINGTON XV (2nd Japan-USA Workshop in Knot Theory)
January 10-15, 2003
George Washington University and Johns Hopkins University
Washington, DC and Baltimore, MD, USA

Organizers
Kazuaki Kobayashi, Jozef H. Przytycki, Yongwu Rong, Shin-ichi Suzuki, Kouki Taniyama, Tatsuya Tsukamoto, Akira Yasuhara

Conference Homepage


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.