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arXiv · 2609.03963

On the surjectivity conjectures of Dupont and Monod

Alexander Kupers·Daniil Rudenko·Ismael Sierra
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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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Alexander Kupers, Daniil Rudenko, Ismael Sierra. 2026-09-03. On the surjectivity conjectures of Dupont and Monod. https://arxiv.org/abs/2609.03963

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