The flux homomorphism on closed hyperbolic surfaces and Anti-de Sitter three-dimensional geometry
Given a smooth spacelike surface ∑ of negative curvature in Anti-de Sitter space of dimension 3, invariant by a representation p: π1 (S) → PSL2ℝ x PSL2ℝ where S is a closed oriented surface of genus ≥ 2, a canonical construction associates to ∑ a diffeomorphism φ∑ of S. It turns out that φ∑ is a sym...
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-12-01
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| Series: | Complex Manifolds |
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| Online Access: | https://doi.org/10.1515/coma-2017-0013 |