A SPECTRAL SEQUENCE DETERMINING THE HOMOLOGY OF Out(Fn) IN TERMS OF ITS MAPPING CLASS SUBGROUPS
نویسنده
چکیده
We construct a covering of the spine of the Culler–Vogtmann outer space Out(F n) by complexes of ribbon graphs. By considering the equivariant homology for the action of Out(F n) on this covering, we construct a spectral sequence converging to the homology of Out(F n) that has its E 1 terms given by the homology of mapping class groups and their subgroups. This spectral sequence can be seen as encoding all of the information of how the homology of Out(F n) is related to the homology of mapping class groups and their subgroups
منابع مشابه
5 MAPPING CLASS SUBGROUPS OF Out ( F n )
We construct a covering of the spine of Culler-Vogtmann Outer space by complexes of ribbon graphs. By considering the equivariant homology for the action of Out(Fn) on this covering, we construct a spectral sequence converging to the homology of Out(Fn) that has its E terms given by the homology of mapping class groups and their subgroups. This spectral sequence can be seen as encoding all of t...
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