Entropy, weil-petersson translation distance and gromov norm for surface automorphisms

研究成果: Article

2 引用 (Scopus)

抜粋

Thanks to a theorem of Brock on the comparison ofWeil-Petersson translation distances and hyperbolic volumes of mapping tori for pseudo- Anosovs, we prove that the entropy of a surface automorphism in general has linear bounds in terms of a Gromov norm of its mapping torus from below and an inbounded geometry case from above. We also prove that the Weil- Petersson translation distance does the same from both sides in general. The proofs are in fact immediately derived from the theorem of Brock, together with some other strong theorems and small observations.

元の言語English
ページ(範囲)3993-4002
ページ数10
ジャーナルProceedings of the American Mathematical Society
140
発行部数11
DOI
出版物ステータスPublished - 2012 7 23

    フィンガープリント

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

これを引用