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math.DS2011★ 151 cited
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmuller geodesic flow
Alex Eskin, Maxim Kontsevich, Anton Zorich
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 Theor…
math.RA2011★ 23 cited
Noncommutative identities
Maxim Kontsevich
This is a slightly edited version of my talk on Mathematische Arbeitstagung 2011, Bonn. I present a result relating noncommutative Laurent polynomials with algebraic functions, and…