On the Complexity and Volume of Hyperbolic 3-Manifolds

A different Gysin sequence relating the cohomology of M and the S 3 -equivariant cohomology of M was constructed in [3], also in the case of a general smooth S 3 -action.. In the

Indeed there could exist at most finitely many different 3-manifolds having the fundamental groups isomorphic to the same group G (for irreducible 3-manifolds with boundary this

In each of these remaining cases, the resulting compact, conformally flat 3-manifold X ^ 0/r can be described topologically as a circle bundle over a compact surface which has

AdS-CFT, 5 AdS/CFT correspondence, 5 Chern–Simons formulation, 15 Codazzi equation, 18 correspondence AdS/CFT, 5 derivative Schwarzian, 9 equation Codazzi, 18 Gauss, 18 Liouville,

For every metric g on S with curvature less than −1 we have dened in Section 3 the maps φ ± g which associate to every isometric embedding of (S, g) into a GHMC AdS 3 manifold M

For the ideal triangulation of the Whitehead link complement with four tetrahedra there is only one unipotent representation with rank one boundary holonomy (it is the same one

It is not surprising from the general formula that small volumes should be tied up to fields of small discriminants and, in the compact case, to quaternion algebras

We prove theorems on the structure of the fundamental group of a compact riemannian manifold of non-positive curvature.. Differential Geometry, 2, 421-446 (1968) ]