A Birman exact sequence for the Torelli subgroup of Aut(Fn)
نویسندگان
چکیده
منابع مشابه
A 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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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, ...
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ژورنال
عنوان ژورنال: International Journal of Algebra and Computation
سال: 2016
ISSN: 0218-1967,1793-6500
DOI: 10.1142/s0218196716500260