The Degree-Three Bounded Cohomology of Complex Lie Groups of Classical Type

Autor:	Mengual, Carlos De la Cruz
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - K-Theory and Homology 20G10 (Primary) 20J05 20F65 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We establish Monod's isomorphism conjecture in degree-three bounded cohomology for every complex simple Lie group of classical type. Our main ingredient is a bounded-cohomological stability theorem with an optimal range in degree three that we bootstrap from previous stability results by the author and Hartnick. The bootstrapping procedure relies on the occurrence in our setting of a variant of the recently observed phenomenon of secondary stability in the sense of Galatius--Kupers--Randal-Williams. Comment: Added norm computations and relevant references, and modified introduction and general structure for better readability. 33 pages. Comments welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2304.00607 Zobrazit plný text záznamu View this record from Arxiv