Work

On the surjectivity conjectures of Dupont and Monod

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.03963

Authors: Kupers, Alexander, Rudenko, Daniil, Sierra, Ismael

Institutions: University of Chicago, University of Glasgow

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7208721377

Cites: 7

Cited by:

Related to: 10