منابع مشابه
A Birman exact sequence for AutpFnq
The Birman exact sequence describes the effect on the mapping class group of a surface with boundary of gluing discs to the boundary components. We construct an analogous exact sequence for the automorphism group of a free group. For the mapping class group, the kernel of the Birman exact sequence is a surface braid group. We prove that in the context of the automorphism group of a free group, ...
متن کاملA Birman exact sequence for the Torelli subgroup of AutpFnq
We develop an analogue of the Birman exact sequence for the Torelli subgroup of AutpFnq. This builds on earlier work of the authors who studied an analogue of the Birman exact sequence for the entire group AutpFnq. These results play an important role in the authors’ recent work on the second homology group of the Torelli group.
متن کاملA Birman exact sequence for the Torelli subgroup of Aut(Fn)
We develop an analogue of the Birman exact sequence for the Torelli subgroup of AutpFnq. This builds on earlier work of the authors who studied an analogue of the Birman exact sequence for the entire group AutpFnq. These results play an important role in the authors’ recent work on the second homology group of the Torelli group.
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Observational data hint at a finite universe, with spherical manifolds such as the Poincaré dodecahedral space tentatively providing the best fit. Simulating the physics of a model universe requires knowing the eigenmodes of the Laplace operator on the space. The present article provides explicit polynomial eigenmodes for all globally homogeneous 3-manifolds: the Poincaré dodecahedral space S3/...
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The notion of quasi-exact sequence of modules was introduced by B. Davvaz and coauthors in 1999 as a generalization of the notion of exact sequence. In this paper we investigate further this notion. In particular, some interesting results concerning this concept and torsion functor are given.
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2017
ISSN: 0024-6093
DOI: 10.1112/blms.12051