1,721,125 research outputs found

    I corali benedettini di San Sisto a Piacenza

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    Presentazione al pubblico di una collezione privata di corali benedettini provenienti dal monastero di San Sisto a Piacenza. storia dell'abbazia e della biblioteca. committenza e artisti, collezioni e dispersione dei codici, liturgia e musica

    Extending higher-dimensional quasi-cocycles

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    Let G be a group admitting a non-elementary acylindrical action on a Gromov hyperbolic space (for example, a non-elementary relatively hyperbolic group, or the mapping class group of a closed hyperbolic surface, or Out(F_n ) for n 2). We prove that, in degree 3, the bounded cohomology of G with real coefficients is infinite-dimensional. Our proof is based on an extension to higher degrees of a recent result by Hull and Osin. Namely, we prove that if H is a hyperbolically embedded subgroup of G and V is any R[G]-module, then any n-quasi-cocycle on H with values in V may be extended to G. Also, we show that our extensions detect the geometry of the embedding of hyperbolically embedded subgroups in a suitable sense

    Extending higher-dimensional quasi-cocycles

    No full text
    Let G be a group admitting a non-elementary acylindrical action on a Gromov hyperbolic space (for example, a non-elementary relatively hyperbolic group, or the mapping class group of a closed hyperbolic surface, or Out(Fn) for n ≥ 2). We prove that, in degree 3, the bounded cohomology of G with real coefficients is infinite-dimensional. Our proof is based on an extension to higher degrees of a recent result by Hull and Osin. Namely, we prove that if H is a hyperbolically embedded subgroup of G and V is any R[G]-module, then any n-quasi-cocycle on H with values in V may be extended to G. Also, we show that our extensions detect the geometry of the embedding of hyperbolically embedded subgroups in a suitable sense
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