CrossRef 2011 14 sitasi

Irreducible Sp-representations and subgroup distortion in the mapping class group

Nathan Broaddus Benson Farb Andrew Putman

Abstrak

We prove that various subgroups of the mapping class group \mathrm{Mod}(\Sigma) of a surface \Sigma are at least exponentially distorted. Examples include the Torelli group (answering a question of Hamenstädt), the “point-pushing” and surface braid subgroups, and the Lagrangian subgroup. Our techniques include a method to compute lower bounds on distortion via representation theory and an extension of Johnson theory to arbitrary subgroups of \mathrm{H}_1(\Sigma;\mathbb{Z}) .

Penulis (3)

Nathan Broaddus

Benson Farb

Andrew Putman

Format Sitasi

APA MLA BibTeX

Broaddus, N., Farb, B., Putman, A. (2011). Irreducible Sp-representations and subgroup distortion in the mapping class group. https://doi.org/10.4171/cmh/233

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Total Sitasi: 14×
Sumber Database: CrossRef
DOI: 10.4171/cmh/233
Akses: Terbatas