Pozzetti, Maria B.
- Working Paper
We show that the isomorphism induced by the inclusion of pairs $(X,\emptyset)\subset (X,Y)$ 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 Show more
Pages / Article No.
Organisational unit03491 - Burger, Marc
08802 - Iozzi, Alessandra (Tit.-Prof.)
NotesSubmitted on 4 May 2012 (v1), last revised 18 May 2012 (this version, v2).
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