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math.GT2013★ 10 cited
Generating the Johnson filtration
Thomas Church, Andrew Putman
For k >= 1, let Torelli_g^1(k) be the k-th term in the Johnson filtration of the mapping class group of a genus g surface with one boundary component. We prove that for all k, ther…
math.GT2013★ 2 cited
Pseudo-Anosov dilatations and the Johnson filtration
Justin Malestein, Andrew Putman
Answering a question of Farb-Leininger-Margalit, we give explicit lower bounds for the dilatations of pseudo-Anosov mapping classes lying in the kth term of the Johnson filtration…