Let (Formula presented.) be a connected, oriented surface with punctures and negative Euler characteristic. We introduce regular globally hyperbolic anti-de Sitter structures on (Formula presented.) and provide two parameterisations of their deformation space: as an enhanced product of two copies of the Fricke space of (Formula presented.) and as the bundle over the Teichmüller space of (Formula presented.) whose fibre consists of meromorphic quadratic differentials with poles of order at most 2 at the punctures.
Regular globally hyperbolic maximal anti-de Sitter structures
Tamburelli A.
Primo
2020-01-01
Abstract
Let (Formula presented.) be a connected, oriented surface with punctures and negative Euler characteristic. We introduce regular globally hyperbolic anti-de Sitter structures on (Formula presented.) and provide two parameterisations of their deformation space: as an enhanced product of two copies of the Fricke space of (Formula presented.) and as the bundle over the Teichmüller space of (Formula presented.) whose fibre consists of meromorphic quadratic differentials with poles of order at most 2 at the punctures.File in questo prodotto:
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