From mapping class groups to automorphism groups of free groups

Nathalie Wahl

From mapping class groups to automorphism groups of free groups

代数拓扑 2008-01-15 v2 几何拓扑

作者: Nathalie Wahl

摘要

We show that the natural map from the mapping class groups of surfaces to the automorphism groups of free groups, induces an infinite loop map on the classifying spaces of the stable groups after plus construction. The proof uses automorphisms of free groups with boundaries which play the role of mapping class groups of surfaces with several boundary components.

关键词

mapping class groups automorphism groups automorphisms of algebraic surfaces

引用

@article{arxiv.math/0406278,
  title  = {From mapping class groups to automorphism groups of free groups},
  author = {Nathalie Wahl},
  journal= {arXiv preprint arXiv:math/0406278},
  year   = {2008}
}

备注

to appear in J. Lond. Math. Soc

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