Some Homological Invariants of Mapping Class Group of a 3-dimensional Handlebody
نویسنده
چکیده
We show that, if g ≥ 2, the virtual cohomological dimension of the mapping class group of a 3-dimensional handlebody of genus g is equal to 4g − 5 and the Euler number of it is equal to 0.
منابع مشابه
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We prove that the homology of the mapping class group of any 3-manifold stabilizes under connected sum and boundary connected sum with an arbitrary 3-manifold when both manifolds are compact and orientable. The stabilization also holds for the quotient group by twists along spheres and disks, and includes as particular cases homological stability for symmetric automorphisms of free groups, auto...
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تاریخ انتشار 2001