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PreprintCC BY-NC-ND 4.0arXiv

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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Cite

BibTeXRIS
BibTeX
@misc{kupers2026surjectivity,
  title = {{On the surjectivity conjectures of Dupont and Monod}},
  author = {Alexander Kupers and Daniil Rudenko and Ismael Sierra},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03963},
  eprint = {2609.03963},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03963},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - On the surjectivity conjectures of Dupont and Monod
AU  - Alexander Kupers
AU  - Daniil Rudenko
AU  - Ismael Sierra
PY  - 2026
DA  - 2026/09/03
PB  - arXiv
DO  - 10.48550/arxiv.2609.03963
UR  - https://arxiv.org/abs/2609.03963
AB  - 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.
ER  -