Pro-p link groups and p-homology groups

2005/05/20 by Jonathan Hillman, Hillman, Jonathan, Daniel Matei +3
Mathematics · #11RXX #57M52 #FOS: Mathematics #Geometric Topology (math.GT) #Number Theory (math.NT) #math.GT #math.NT #msc:11RXX #msc:57M52

paper · pdf · doi:10.48550/arxiv.math/0505433

20 pages

arxiv created 2005/05/20 · arxiv updated 2009/12/01

Abstract

For a link L in the 3-sphere and for a prime p, we express the p-primary information on the first homology group of p^m-fold branched covers of L in terms of its p-adic Milnor higher linking invariants, using the completed Alexander module of the pro-p completion of the link group of L.

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