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On the surjectivity conjectures of Dupont and Monod

Published 3 Sep 2026 in math.GR, math.AT, and math.KT | (2609.03963v1)

Abstract: In this paper we apply our work on polylogarithmic cocycles representing the Borel classes to establish that the comparison map from bounded continuous cohomology to continuous cohomology is surjective for connected semisimple Lie groups with finite centre. This proves conjectures of Dupont and Monod.

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