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- W1608293375 abstract "Given an origami (square-tiled surface) M with automorphism group G, we compute the decomposition of the first homology group of M into isotypic G-submodules. Through the action of the affine group of M on the homology group, we deduce some consequences for the multiplicities of the Lyapunov exponents of the Kontsevich-Zorich cocycle. We also construct and study several families of interesting origamis illustrating our results." @default.
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- W1608293375 date "2012-07-10" @default.
- W1608293375 modified "2023-09-27" @default.
- W1608293375 title "Homology of origamis with symmetries" @default.
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