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- W2949089752 abstract "We construct a Teichmueller curve uniformized by the Fuchsian triangle group (m,n,infty) for every m<n. Our construction includes the Teichmueller curves constructed by Veech and Ward as special cases. The construction essentially relies on properties of hypergeometric differential operators. For small m, we find Billiard tables that generate these Teichmueller curves. We interprete some of the so-called Lyapunov exponents of the Kontsevich--Zorich cocycle as normalized degrees of some natural line bundles on a Teichmueller curves. We determine the Lyapunov exponents for the Teichmueller curves we construct." @default.
- W2949089752 created "2019-06-27" @default.
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- W2949089752 date "2005-11-30" @default.
- W2949089752 modified "2023-09-27" @default.
- W2949089752 title "Teichmueller curves, triangle groups, and Lyapunov exponents" @default.
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