Bordifying outer spaces for right-angled Artin groups
Bordifying outer spaces for right-angled Artin groups
批准号:
2105827
负责人:
金额:
$0.0万
依托单位:
依托单位国家:
英国
项目类别:
Studentship
财政年份:
2018
资助国家:
英国
项目状态:
已结题
起止时间:
2018 至 --
中文摘要
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英文摘要
For any arithmetic group, including SL(n,Z), Borel and Serre defined a bordification of the associated symmetric space; this is an extension of the symmetric space with a proper cocompact action of the arithmetic group, so can be used to study the cohomology and coarse geometry of the group. For the group of outer automorphisms of a free group, an analogous bordification of Outer space was constructed by Bestvina and Feighn. Right-angled Artin groups generalize both free and free abelian groups. Charney and Vogtmann have defined an outer space on which the outer automorphism group of any right-angled Artin group acts, generalizing both the symmetric space for SL(n,Z) and Outer space for Out(F_n), and the goal of this project is to construct an analogous bordification of this general outer space.
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