Entropy of pseudo-Anosovs which fix homology
Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015
Location: MSRI: Simons Auditorium
geodesics on Teichmuller space
triangulation of three manifold
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37-XX - Dynamical systems and ergodic theory [See also 26A18, 28Dxx, 34Cxx, 34Dxx, 35Bxx, 46Lxx, 58Jxx, 70-XX]
37A35 - Entropy and other invariants, isomorphism, classification
We show that the entropy of a pseudo-Anosov which fixes a k-dimensional subspace of homology of a genus g surface is comparable to (k+1)/g. This answers a question of Ellenberg. Key use is made of a recent inequality of Kojima-McShane giving an upper bound on volume in terms of dilatation
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