Symplectic modular symbols

1998/09/10 by Paul E. Gunnells, Gunnells, Paul E.
Mathematics · #11F75 #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F75

paper · pdf · doi:10.48550/arxiv.math/9809059

21 pages, 8 figures, AMS-LaTeX, uses psfrag.sty, incorporates referee's comments

arxiv created 1999/08/14 · arxiv updated 2009/11/30

Abstract

Let K be a number field with euclidean ring of integers O. Let G be a finite-index torsion-free subgroup of Sp(2n, O). We exhibit a finite, geometrically defined spanning set of the top dimensional integral cohomology of G by generalizing the modular symbol algorithm of Ash and Rudolph.

Related

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• Modular symbols for Q-rank one groups and Voronoi reduction
• The spectrum of local dualisable modular representations
• Top-degree rational cohomology in the symplectic group of a number ring
• Modular symbols and Hecke operators