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arXiv · 2201.03879

Stabilization of Bounded Cohomology for Classical Groups

Carlos De la Cruz Mengual·Tobias Hartnick
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Abstract

We show that bounded cohomology stabilizes along sequences of classical Lie groups, and along sequences of lattices in them. Our method is based on a criterion from (arXiv:2307.12808) which adapts Quillen's stability method to the setting of bounded cohomology. This criterion is then applied to a family of measured complexes, the so-called Stiefel complexes, associated to any vector space endowed with a non-degenerate sesquilinear form.

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Carlos De la Cruz Mengual, Tobias Hartnick. 2022-01-11. Stabilization of Bounded Cohomology for Classical Groups. https://arxiv.org/abs/2201.03879

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