Entropy of pseudo-Anosovs which fix homology
Dynamics on Moduli Spaces April 13, 2015 - April 17, 2015
Location: SLMath: Eisenbud Auditorium
entropy
Teichmuller theory
geodesics on Teichmuller space
entropy minimization
Linch's inequality
triangulation of three manifold
Ellenberg's conjecture
35Q70 - PDEs in connection with mechanics of particles and systems of particles
35Q60 - PDEs in connection with optics and electromagnetic theory
26B20 - Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.)
14222
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
Agol.Notes
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14222
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