Entropy of pseudo-Anosovs which fix homology
Location: MSRI: Simons Auditorium
geodesics on Teichmuller space
triangulation of three manifold
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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