Symplectic Wick rotations between moduli spaces of 3-manifolds
Symplectic Wick rotations between moduli spaces of 3-manifolds
Given a closed hyperbolic surface S, let QF denote the space of quasifuchsian hyperbolic metrics on S ×R and GH -1 the space of maximal globally hyperbolic anti-de Sitter metrics on S ×R.We describe natural maps between (parts of) QF and GH -1 , called "Wick rotations", defined in terms …