Hasil untuk "math.SP"

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CrossRef 2011
Irreducible Sp-representations and subgroup distortion in the mapping class group

Nathan Broaddus, Benson Farb, Andrew Putman

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}) .

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