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Free, publicly-accessible full text available January 1, 2026
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Abstract We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group$$\Gamma <{\operatorname{\mathrm{Isom}}}^+(\mathbb H^{n+1})$$, each full rank cusp corresponds to a cohomology class in$$H^{n}(\Gamma , V)$$, whereVis either the trivial coefficient or the adjoint representation. Moreover, by computing the intertwining operator, we show that different cusps give rise to linearly independent classes.more » « less
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