Cohomology Jumping Loci and Relative Malcev Completion

Two standard invariants used to study the fundamental group of the complement X of a hyperplane arrangement are the Malcev (i.e. unipotent) completion of its fundamental group π1(X,x0) and the cohomology groups H (X,Lρ) with coefficients in rank one local systems. In this paper, we develop a tool that unifies these two approaches. This tool is the Malcev… CONTINUE READING

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