2012/05/04 by Michelle Bucher, Bucher, Michelle, Marc Burger +9 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT
paper · pdf · doi:10.48550/arxiv.1205.1022
There is one more author, as well as three more theorems
openalex publication_date 2012/05/04 · arxiv created 2012/05/18 · arxiv updated 2012/05/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the isomorphism induced by the inclusion of pairs (X,∅)⊂ (X,Y) between the relative bounded cohomology of (X,Y) and the bounded cohomology of X is isometric in degree at least 2 if the fundamental group of each connected component of Y is amenable. As an application we provide a self-contained proof of Gromov Equivalence theorem and a generalization of a result of Fujiwara and Manning on the simplicial volume of generalized Dehn fillings.