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A vanishing theorem for modular symbols on locally symmetric spaces

A vanishing theorem for modular symbols on locally symmetric spaces

A modular symbol is the fundamental class of a totally geodesic submanifold \Gamma'\backslash G'/K' embedded in a locally Riemannian symmetric space \Gamma \backslash G / K , which is defined by a subsymmetric space G'/ K' \hookrightarrow G / K . In this paper, we consider the modular symbol defined …