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- W137994789 abstract "AbstractIn this chapter we construct a cellular decomposition of Teichmüller space. The construction is based on the hyperbolic geometry of a Riemann surface, which we review in Sections 5 and 6. The cells of the decomposition are labelled by ribbon graphs, and the decomposition itself is equivariant under the action of the Teichmüller modular group. We then extend this decomposition to the bordification of Teichmüller space introduced in Chapter XV. By equivariance, this provides orbicellular decompositions of the moduli spaces of pointed Riemann surfaces and of suitable compactifications.KeywordsModulus SpaceRiemann SurfaceSimplicial ComplexBoundary ComponentHyperbolic GeometryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W137994789 date "2011-01-01" @default.
- W137994789 modified "2023-10-18" @default.
- W137994789 title "Cellular decomposition of moduli spaces" @default.
- W137994789 doi "https://doi.org/10.1007/978-3-540-69392-5_10" @default.
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