Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow
arXiv:1112.5872 · doi:10.1007/s10240-013-0060-3
Abstract
We compute the sum of the positive Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow. The computation is based on the analytic Riemann-Roch Theorem and uses a comparison of determinants of flat and hyperbolic Laplacians when the underlying Riemann surface degenerates.
Minor corrections. To appear in Publications mathematiques de l'IHES